Monica Vişan

71 Publications

Mark all

[71]
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 22097 | OA
Harrop-Griffiths B, Killip R, Vişan M. Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity. Proceedings of the American Mathematical Society. 2026. doi:10.1090/proc/17760
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[70]
2026 | Published | Journal Article | IST-REx-ID: 22096 | OA
Harrop-Griffiths B, Killip R, Vişan M. A priori bounds and equicontinuity of orbits for the intermediate long wave equation. Journal of Evolution Equations. 2026;26(3). doi:10.1007/s00028-026-01228-4
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[69]
2025 | Published | Journal Article | IST-REx-ID: 22032 | OA
Killip R, Laurens T, Vişan M. Scaling-critical well-posedness for continuum Calogero–Moser models on the line. Communications of the American Mathematical Society. 2025;5(7):284-320. doi:10.1090/cams/48
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[68]
2025 | Published | Journal Article | IST-REx-ID: 22036 | OA
Fan C, Killip R, Vişan M, Zhao Z. Dispersive decay for the mass-critical nonlinear Schrödinger equation. Mathematische Zeitschrift. 2025;311. doi:10.1007/s00209-025-03821-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[67]
2025 | Published | Journal Article | IST-REx-ID: 22021 | OA
Haque S, Killip R, Vişan M, Zhang Y. Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces. Pure and Applied Analysis. 2025;7(3):615-637. doi:10.2140/paa.2025.7.615
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[66]
2025 | Published | Journal Article | IST-REx-ID: 22027 | OA
Hu N, Killip R, Vişan M. Deconvolutional determination of the nonlinearity in a semilinear wave equation. Pure and Applied Analysis. 2025;7(1):1-17. doi:10.2140/paa.2025.7.1
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[65]
2025 | Published | Journal Article | IST-REx-ID: 22044 | OA
Killip R, Murphy J, Vişan M. Determination of Schrödinger nonlinearities from the scattering map. Nonlinearity. 2025;38(1). doi:10.1088/1361-6544/ada1bf
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[64]
2025 | Published | Journal Article | IST-REx-ID: 22069 | OA
Killip R, Ouyang Z, Vişan M, Wu L. The modified Korteweg–de Vries limit of the Ablowitz–Ladik system. Discrete and Continuous Dynamical Systems. 2025;45(3):821-846. doi:10.3934/dcds.2024114
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[63]
2025 | Published | Journal Article | IST-REx-ID: 22083 | OA
Harrop-Griffiths B, Killip R, Vişan M. The nonlinear Schrödinger equation with sprinkled nonlinearity. Nonlinearity. 2025;38(9). doi:10.1088/1361-6544/ae022e
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[62]
2024 | Published | Journal Article | IST-REx-ID: 22026 | OA
Chapouto A, Killip R, Vişan M. Bounded solutions of KdV: Uniqueness and the loss of almost periodicity. Duke Mathematical Journal. 2024;173(7):1227-1267. doi:10.1215/00127094-2023-0035
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[61]
2024 | Published | Journal Article | IST-REx-ID: 22065 | OA
Killip R, Laurens T, Vişan M. Sharp well-posedness for the Benjamin–Ono equation. Inventiones mathematicae. 2024;236(3):999-1054. doi:10.1007/s00222-024-01250-8
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[60]
2024 | Published | Journal Article | IST-REx-ID: 22062 | OA
Harrop-Griffiths B, Killip R, Ntekoume M, Vişan M. Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R). Journal of the European Mathematical Society. 2024;28(2):843-924. doi:10.4171/jems/1490
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[59]
2024 | Published | Journal Article | IST-REx-ID: 22074 | OA
Grafakos L, Vişan M. Remarks on countable subadditivity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2024;154(5):1504-1517. doi:10.1017/prm.2023.77
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[58]
2024 | Published | Journal Article | IST-REx-ID: 22079 | OA | PlanS
Harrop-Griffiths B, Killip R, Vişan M. Sharp well-posedness for the cubic NLS and mKdV in H^s(R). Forum of Mathematics, Pi. 2024;12. doi:10.1017/fmp.2024.4
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[57]
2023 | Published | Journal Article | IST-REx-ID: 22046 | OA
Killip R, Ouyang Z, Vişan M, Wu L. Continuum limit for the Ablowitz–Ladik system. Nonlinearity. 2023;36(7):3751-3775. doi:10.1088/1361-6544/acd978
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[56]
2023 | Published | Journal Article | IST-REx-ID: 22067 | OA
Killip R, Ntekoume M, Vişan M. On the well-posedness problem for the derivativenonlinear Schrödinger equation. Analysis & PDE. 2023;16(5):1245-1270. doi:10.2140/apde.2023.16.1245
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[55]
2023 | Published | Journal Article | IST-REx-ID: 22064 | OA
Killip R, Murphy J, Vişan M. The scattering map determines the nonlinearity. Proceedings of the American Mathematical Society. 2023;151(6):2543-2557. doi:10.1090/proc/16297
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[54]
2023 | Published | Journal Article | IST-REx-ID: 22072 | OA
Harrop-Griffiths B, Killip R, Vişan M. Large-data equicontinuity for the derivative NLS. International Mathematics Research Notices. 2023;2023(6):4601-4642. doi:10.1093/imrn/rnab374
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[53]
2022 | Published | Journal Article | IST-REx-ID: 22043 | OA
Killip R, Vişan M. Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. 2022;389(3):1445-1473. doi:10.1007/s00220-021-04280-y
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[52]
2021 | Published | Journal Article | IST-REx-ID: 22035 | OA
Killip R, Vişan M, Zhang X. Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2. American Journal of Mathematics. 2021;143(2):613-680. doi:10.1353/ajm.2021.0014
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[51]
2021 | Published | Journal Article | IST-REx-ID: 22038 | OA
Bringmann B, Killip R, Vişan M. Global well-posedness for the fifth-order KdV equation in H^-1(R). Annals of PDE. 2021;7(2). doi:10.1007/s40818-021-00111-4
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[50]
2021 | Published | Journal Article | IST-REx-ID: 22063 | OA
Harrop-Griffiths B, Killip R, Vişan M. Microscopic conservation laws for integrable lattice models. Monatshefte für Mathematik. 2021;196(3):477-504. doi:10.1007/s00605-021-01529-5
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[49]
2021 | Published | Journal Article | IST-REx-ID: 22084 | OA
Killip R, Murphy J, Vişan M. Scattering for the cubic-quintic NLS: Crossing the virial threshold. SIAM Journal on Mathematical Analysis. 2021;53(5):5803-5812. doi:10.1137/20m1381824
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[48]
2021 | Published | Journal Article | IST-REx-ID: 22087 | OA
Killip R, Vişan M, Zhang X. Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2. American Journal of Mathematics. 2021;143(2):613-680. doi:10.1353/ajm.2021.0014
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[47]
2020 | Published | Journal Article | IST-REx-ID: 22054 | OA
Killip R, Murphy J, Vişan M. Invariance of white noise for KdV on the line. Inventiones mathematicae. 2020;222(1):203-282. doi:10.1007/s00222-020-00964-9
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[46]
2020 | Published | Journal Article | IST-REx-ID: 22080 | OA
Angelopoulos Y, Killip R, Vişan M. Invariant measures for integrable spin chains and an integrable discrete nonlinear Schrödinger equation. SIAM Journal on Mathematical Analysis. 2020;52(1):135-163. doi:10.1137/19m1265314
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[45]
2019 | Published | Journal Article | IST-REx-ID: 22028 | OA
Killip R, Vişan M. KdV is well-posed in H^-1. Annals of Mathematics. 2019;190(1):249-305. doi:10.4007/annals.2019.190.1.4
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Published | Journal Article | IST-REx-ID: 22030 | OA
Killip R, Masaki S, Murphy J, Vişan M. The radial mass-subcritical NLS in negative order Sobolev spaces. Discrete and Continuous Dynamical Systems. 2019;39(1):553-583. doi:10.3934/dcds.2019023
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[43]
2019 | Published | Journal Article | IST-REx-ID: 22048 | OA
Killip R, Vişan M, Zhang X. Symplectic non-squeezing for the cubic NLS on the line. International Mathematics Research Notices. 2019;2019(5):1312-1332. doi:10.1093/imrn/rnx152
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[42]
2019 | Published | Journal Article | IST-REx-ID: 22066 | OA
Killip R, Murphy J, Vişan M. Almost sure scattering for the energy-critical NLS with radial data below H1(R4). Communications in Partial Differential Equations. 2019;44(1):51-71. doi:10.1080/03605302.2018.1541904
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[41]
2019 | Published | Journal Article | IST-REx-ID: 22077 | OA
Jao C, Killip R, Vişan M. Mass-critical inverse Strichartz theorems for 1d Schrödinger operators. Revista Matemática Iberoamericana. 2019;35(3):703-730. doi:10.4171/rmi/1067
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[40]
2018 | Published | Journal Article | IST-REx-ID: 22042 | OA
Killip R, Miao C, Vişan M, Zhang J, Zheng J. Sobolev spaces adapted to the Schrödinger operator with inverse-square potential. Mathematische Zeitschrift. 2018;288(3-4):1273-1298. doi:10.1007/s00209-017-1934-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Published | Journal Article | IST-REx-ID: 22045 | OA
Killip R, Murphy J, Vişan M. The initial-value problem for the cubic-quintic NLS with nonvanishing boundary conditions. SIAM Journal on Mathematical Analysis. 2018;50(3):2681-2739. doi:10.1137/17m1116702
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[38]
2018 | Published | Journal Article | IST-REx-ID: 22055 | OA
Killip R, Vişan M, Zhang X. Low regularity conservation laws for integrable PDE. Geometric and Functional Analysis. 2018;28(4):1062-1090. doi:10.1007/s00039-018-0444-0
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Published | Journal Article | IST-REx-ID: 22093 | OA
Koch H, Raphaël P, Tataru D, Vişan M. Nonlinear waves and dispersive equations. Oberwolfach Reports. 2018;14(2):1681-1745. doi:10.4171/owr/2017/27
[Published Version] View | DOI | Download Published Version (ext.)
 
[36]
2017 | Published | Journal Article | IST-REx-ID: 22025 | OA
Killip R, Masaki S, Murphy J, Vişan M. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations and Applications NoDEA. 2017;24(4). doi:10.1007/s00030-017-0463-9
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Published | Journal Article | IST-REx-ID: 22033 | OA
Killip R, Miao C, Vişan M, Zhang J, Zheng J. The energy-critical NLS with inverse-square potential. Discrete and Continuous Dynamical Systems. 2017;37(7):3831-3866. doi:10.3934/dcds.2017162
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2017 | Published | Journal Article | IST-REx-ID: 22071 | OA
Killip R, Oh T, Pocovnicu O, Vişan M. Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on R^3. Archive for Rational Mechanics and Analysis. 2017;225:469-548. doi:10.1007/s00205-017-1109-0
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[33]
2017 | Published | Journal Article | IST-REx-ID: 22088 | OA
Killip R, Murphy J, Vişan M, Zheng J. The focusing cubic NLS with inverse-square potential in three space dimensions. Differential and Integral Equations. 2017;30(3/4):161-206. doi:10.57262/die/1487386822
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[32]
2016 | Published | Journal Article | IST-REx-ID: 22037 | OA
Killip R, Vişan M, Zhang X. Riesz transforms outside a convex obstacle. International Mathematics Research Notices. 2016;2016(19):5875-5921. doi:10.1093/imrn/rnv338
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[31]
2016 | Published | Journal Article | IST-REx-ID: 22041 | OA
Killip R, Vişan M, Zhang X. Quintic NLS in the exterior of a strictly convex obstacle. American Journal of Mathematics. 2016;138(5):1193-1346. doi:10.1353/ajm.2016.0039
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[30]
2016 | Published | Journal Article | IST-REx-ID: 22051 | OA
Killip R, Murphy J, Vişan M. The final-state problem for the cubic-quintic NLS with nonvanishing boundary conditions. Analysis & PDE. 2016;9(7):1523-1574. doi:10.2140/apde.2016.9.1523
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[29]
2016 | Published | Journal Article | IST-REx-ID: 22052 | OA
Killip R, Vişan M, Zhang X. The focusing cubic NLS on exterior domains in three dimensions. Applied Mathematics Research eXpress. 2016;2016(1):146-180. doi:10.1093/amrx/abv012
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[28]
2016 | Published | Journal Article | IST-REx-ID: 22073 | OA
Killip R, Vişan M. Scale-invariant Strichartz estimates on tori and applications. Mathematical Research Letters. 2016;23(2):445-472. doi:10.4310/mrl.2016.v23.n2.a8
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[27]
2014 | Published | Journal Article | IST-REx-ID: 22031 | OA
Killip R, Stovall B, Vişan M. Blowup behaviour for the nonlinear Klein-Gordon equation. Mathematische Annalen. 2014;358(1-2):289-350. doi:10.1007/s00208-013-0960-z
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[26]
2014 | Published | Book | IST-REx-ID: 22092
Koch H, Tataru D, Vişan M. Dispersive Equations and Nonlinear Waves: Generalized Korteweg–de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps. Vol 45. 1st ed. Basel: Springer; 2014. doi:10.1007/978-3-0348-0736-4
View | DOI
 
[25]
2013 | Published | Journal Article | IST-REx-ID: 22053 | OA
Killip R, Oh T, Pocovnicu O, Vişan M. Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. Mathematical Research Letters. 2013;19(5):969-986. doi:10.4310/mrl.2012.v19.n5.a1
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[24]
2012 | Published | Journal Article | IST-REx-ID: 22022 | OA
Killip R, Stovall B, Vişan M. Scattering for the cubic Klein-Gordon equation in two space dimensions. Transactions of the American Mathematical Society. 2012;364(3):1571-1631. doi:10.1090/s0002-9947-2011-05536-4
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[23]
2012 | Published | Journal Article | IST-REx-ID: 22024 | OA
Killip R, Vişan M. Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Analysis & PDE. 2012;5(4):855-885. doi:10.2140/apde.2012.5.855
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[22]
2012 | Published | Journal Article | IST-REx-ID: 22056 | OA
Killip R, Kwon S, Shao S, Vişan M. On the mass-critical generalized KdV equation. Discrete and Continuous Dynamical Systems. 2012;32(1):191-221. doi:10.3934/dcds.2012.32.191
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[21]
2012 | Published | Journal Article | IST-REx-ID: 22075 | OA
Vişan M. Global well-posedness and scattering for the defocusing cubic nonlinear Schrödinger equation in four dimensions. International Mathematics Research Notices. 2012;2012(5):1037-1067. doi:10.1093/imrn/rnr051
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[20]
2011 | Published | Journal Article | IST-REx-ID: 22040 | OA
Killip R, Vişan M. The defocusing energy-supercritical nonlinear wave equation in three space dimensions. Transactions of the American Mathematical Society. 2011;363(7):3893-3893. doi:10.1090/s0002-9947-2011-05400-0
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[19]
2011 | Published | Journal Article | IST-REx-ID: 22061 | OA
Killip R, Vişan M. The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions. Proceedings of the American Mathematical Society. 2011;139(5):1805-1817. doi:10.1090/s0002-9939-2010-10615-9
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[18]
2010 | Published | Journal Article | IST-REx-ID: 22023 | OA
Killip R, Vişan M. The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher. American Journal of Mathematics. 2010;132(2):361-424. doi:10.1353/ajm.0.0107
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2010 | Published | Journal Article | IST-REx-ID: 22029 | OA
Killip R, Vişan M. Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering. Communications in Partial Differential Equations. 2010;35(6):945-987. doi:10.1080/03605301003717084
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[16]
2010 | Published | Journal Article | IST-REx-ID: 22089 | OA
Killip R, Vişan M. The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher. American Journal of Mathematics. 2010;132(2):361-424. doi:10.1353/ajm.0.0107
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[15]
2009 | Published | Journal Article | IST-REx-ID: 22059 | OA
Killip R, Tao T, Vişan M. The cubic nonlinear Schrödinger equation in two dimensions with radial data. Journal of the European Mathematical Society. 2009;11(6):1203-1258. doi:10.4171/jems/180
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[14]
2009 | Published | Journal Article | IST-REx-ID: 22058 | OA
Killip R, Vişan M, Zhang X. Energy-critical NLS with quadratic potentials. Communications in Partial Differential Equations. 2009;34(12):1531-1565. doi:10.1080/03605300903328109
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[13]
2009 | Published | Journal Article | IST-REx-ID: 22078 | OA
Killip R, Li D, Vişan M, Zhang X. Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS. SIAM Journal on Mathematical Analysis. 2009;41(1):219-236. doi:10.1137/080720358
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[12]
2009 | Published | Journal Article | IST-REx-ID: 22085 | OA
Vişan M, Zhang X. Global well-posedness and scattering for a class of nonlinear Schröodinger equations below the energy space. Differential and Integral Equations. 2009;22(1/2):99-124. doi:10.57262/die/1356038556
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[11]
2009 | Published | Journal Article | IST-REx-ID: 22090 | OA
Killip R, Tao T, Vişan M. The cubic nonlinear Schrödinger equation in two dimensions with radial data. Journal of the European Mathematical Society. 2009;11(6):1203-1258. doi:10.4171/jems/180
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[10]
2008 | Published | Journal Article | IST-REx-ID: 22049 | OA
Tao T, Vişan M, Zhang X. Minimal-mass blowup solutions of the mass-critical NLS. Forum Mathematicum. 2008;20(5):881-919. doi:10.1515/forum.2008.042
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[9]
2008 | Published | Journal Article | IST-REx-ID: 22081 | OA
Colliander J, Holmer J, Vişan M, Zhang X. Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$. Communications on Pure and Applied Analysis. 2008;7(3):467-489. doi:10.3934/cpaa.2008.7.467
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[8]
2008 | Published | Journal Article | IST-REx-ID: 22082 | OA
Killip R, Vişan M, Zhang X. The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Analysis & PDE. 2008;1(2):229-266. doi:10.2140/apde.2008.1.229
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[7]
2007 | Published | Journal Article | IST-REx-ID: 22034 | OA
Vişan M, Zhang X. On the blowup for the L^2‐critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class. SIAM Journal on Mathematical Analysis. 2007;39(1):34-56. doi:10.1137/060663969
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[6]
2007 | Published | Journal Article | IST-REx-ID: 22039 | OA
Tao T, Vişan M, Zhang X. Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions. Duke Mathematical Journal. 2007;140(1):165-202. doi:10.1215/s0012-7094-07-14015-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[5]
2007 | Published | Journal Article | IST-REx-ID: 22047 | OA
Tao T, Vişan M, Zhang X. The nonlinear Schrödinger equation with combined power-type nonlinearities. Communications in Partial Differential Equations. 2007;32(8):1281-1343. doi:10.1080/03605300701588805
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2007 | Published | Journal Article | IST-REx-ID: 22050 | OA
Vişan M. The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions. Duke Mathematical Journal. 2007;138(2):281-374. doi:10.1215/s0012-7094-07-13825-0
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[3]
2007 | Published | Journal Article | IST-REx-ID: 22057 | OA
Ryckman E, Vişan M. Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4. American Journal of Mathematics. 2007;129(1):1-60. doi:10.1353/ajm.2007.0004
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
2006 | Published | Journal Article | IST-REx-ID: 22076 | OA
Goldberg M, Vişan M. A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. Communications in Mathematical Physics. 2006;266:211-238. doi:10.1007/s00220-006-0013-5
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
2005 | Published | Journal Article | IST-REx-ID: 22086 | OA
Tao T, Vişan M. Stability of energy-critical nonlinear Schrodinger equations in high dimensions. Electronic Journal of Differential Equations. 2005;2005(118):1-28.
[Preprint] View | Download Preprint (ext.) | arXiv
 
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71 Publications

Mark all

[71]
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 22097 | OA
Harrop-Griffiths B, Killip R, Vişan M. Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity. Proceedings of the American Mathematical Society. 2026. doi:10.1090/proc/17760
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[70]
2026 | Published | Journal Article | IST-REx-ID: 22096 | OA
Harrop-Griffiths B, Killip R, Vişan M. A priori bounds and equicontinuity of orbits for the intermediate long wave equation. Journal of Evolution Equations. 2026;26(3). doi:10.1007/s00028-026-01228-4
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[69]
2025 | Published | Journal Article | IST-REx-ID: 22032 | OA
Killip R, Laurens T, Vişan M. Scaling-critical well-posedness for continuum Calogero–Moser models on the line. Communications of the American Mathematical Society. 2025;5(7):284-320. doi:10.1090/cams/48
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[68]
2025 | Published | Journal Article | IST-REx-ID: 22036 | OA
Fan C, Killip R, Vişan M, Zhao Z. Dispersive decay for the mass-critical nonlinear Schrödinger equation. Mathematische Zeitschrift. 2025;311. doi:10.1007/s00209-025-03821-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[67]
2025 | Published | Journal Article | IST-REx-ID: 22021 | OA
Haque S, Killip R, Vişan M, Zhang Y. Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces. Pure and Applied Analysis. 2025;7(3):615-637. doi:10.2140/paa.2025.7.615
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[66]
2025 | Published | Journal Article | IST-REx-ID: 22027 | OA
Hu N, Killip R, Vişan M. Deconvolutional determination of the nonlinearity in a semilinear wave equation. Pure and Applied Analysis. 2025;7(1):1-17. doi:10.2140/paa.2025.7.1
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[65]
2025 | Published | Journal Article | IST-REx-ID: 22044 | OA
Killip R, Murphy J, Vişan M. Determination of Schrödinger nonlinearities from the scattering map. Nonlinearity. 2025;38(1). doi:10.1088/1361-6544/ada1bf
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[64]
2025 | Published | Journal Article | IST-REx-ID: 22069 | OA
Killip R, Ouyang Z, Vişan M, Wu L. The modified Korteweg–de Vries limit of the Ablowitz–Ladik system. Discrete and Continuous Dynamical Systems. 2025;45(3):821-846. doi:10.3934/dcds.2024114
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[63]
2025 | Published | Journal Article | IST-REx-ID: 22083 | OA
Harrop-Griffiths B, Killip R, Vişan M. The nonlinear Schrödinger equation with sprinkled nonlinearity. Nonlinearity. 2025;38(9). doi:10.1088/1361-6544/ae022e
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[62]
2024 | Published | Journal Article | IST-REx-ID: 22026 | OA
Chapouto A, Killip R, Vişan M. Bounded solutions of KdV: Uniqueness and the loss of almost periodicity. Duke Mathematical Journal. 2024;173(7):1227-1267. doi:10.1215/00127094-2023-0035
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[61]
2024 | Published | Journal Article | IST-REx-ID: 22065 | OA
Killip R, Laurens T, Vişan M. Sharp well-posedness for the Benjamin–Ono equation. Inventiones mathematicae. 2024;236(3):999-1054. doi:10.1007/s00222-024-01250-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[60]
2024 | Published | Journal Article | IST-REx-ID: 22062 | OA
Harrop-Griffiths B, Killip R, Ntekoume M, Vişan M. Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R). Journal of the European Mathematical Society. 2024;28(2):843-924. doi:10.4171/jems/1490
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[59]
2024 | Published | Journal Article | IST-REx-ID: 22074 | OA
Grafakos L, Vişan M. Remarks on countable subadditivity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2024;154(5):1504-1517. doi:10.1017/prm.2023.77
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[58]
2024 | Published | Journal Article | IST-REx-ID: 22079 | OA | PlanS
Harrop-Griffiths B, Killip R, Vişan M. Sharp well-posedness for the cubic NLS and mKdV in H^s(R). Forum of Mathematics, Pi. 2024;12. doi:10.1017/fmp.2024.4
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[57]
2023 | Published | Journal Article | IST-REx-ID: 22046 | OA
Killip R, Ouyang Z, Vişan M, Wu L. Continuum limit for the Ablowitz–Ladik system. Nonlinearity. 2023;36(7):3751-3775. doi:10.1088/1361-6544/acd978
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[56]
2023 | Published | Journal Article | IST-REx-ID: 22067 | OA
Killip R, Ntekoume M, Vişan M. On the well-posedness problem for the derivativenonlinear Schrödinger equation. Analysis & PDE. 2023;16(5):1245-1270. doi:10.2140/apde.2023.16.1245
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[55]
2023 | Published | Journal Article | IST-REx-ID: 22064 | OA
Killip R, Murphy J, Vişan M. The scattering map determines the nonlinearity. Proceedings of the American Mathematical Society. 2023;151(6):2543-2557. doi:10.1090/proc/16297
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[54]
2023 | Published | Journal Article | IST-REx-ID: 22072 | OA
Harrop-Griffiths B, Killip R, Vişan M. Large-data equicontinuity for the derivative NLS. International Mathematics Research Notices. 2023;2023(6):4601-4642. doi:10.1093/imrn/rnab374
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[53]
2022 | Published | Journal Article | IST-REx-ID: 22043 | OA
Killip R, Vişan M. Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. 2022;389(3):1445-1473. doi:10.1007/s00220-021-04280-y
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[52]
2021 | Published | Journal Article | IST-REx-ID: 22035 | OA
Killip R, Vişan M, Zhang X. Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2. American Journal of Mathematics. 2021;143(2):613-680. doi:10.1353/ajm.2021.0014
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[51]
2021 | Published | Journal Article | IST-REx-ID: 22038 | OA
Bringmann B, Killip R, Vişan M. Global well-posedness for the fifth-order KdV equation in H^-1(R). Annals of PDE. 2021;7(2). doi:10.1007/s40818-021-00111-4
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[50]
2021 | Published | Journal Article | IST-REx-ID: 22063 | OA
Harrop-Griffiths B, Killip R, Vişan M. Microscopic conservation laws for integrable lattice models. Monatshefte für Mathematik. 2021;196(3):477-504. doi:10.1007/s00605-021-01529-5
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[49]
2021 | Published | Journal Article | IST-REx-ID: 22084 | OA
Killip R, Murphy J, Vişan M. Scattering for the cubic-quintic NLS: Crossing the virial threshold. SIAM Journal on Mathematical Analysis. 2021;53(5):5803-5812. doi:10.1137/20m1381824
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[48]
2021 | Published | Journal Article | IST-REx-ID: 22087 | OA
Killip R, Vişan M, Zhang X. Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2. American Journal of Mathematics. 2021;143(2):613-680. doi:10.1353/ajm.2021.0014
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[47]
2020 | Published | Journal Article | IST-REx-ID: 22054 | OA
Killip R, Murphy J, Vişan M. Invariance of white noise for KdV on the line. Inventiones mathematicae. 2020;222(1):203-282. doi:10.1007/s00222-020-00964-9
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[46]
2020 | Published | Journal Article | IST-REx-ID: 22080 | OA
Angelopoulos Y, Killip R, Vişan M. Invariant measures for integrable spin chains and an integrable discrete nonlinear Schrödinger equation. SIAM Journal on Mathematical Analysis. 2020;52(1):135-163. doi:10.1137/19m1265314
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[45]
2019 | Published | Journal Article | IST-REx-ID: 22028 | OA
Killip R, Vişan M. KdV is well-posed in H^-1. Annals of Mathematics. 2019;190(1):249-305. doi:10.4007/annals.2019.190.1.4
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Published | Journal Article | IST-REx-ID: 22030 | OA
Killip R, Masaki S, Murphy J, Vişan M. The radial mass-subcritical NLS in negative order Sobolev spaces. Discrete and Continuous Dynamical Systems. 2019;39(1):553-583. doi:10.3934/dcds.2019023
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[43]
2019 | Published | Journal Article | IST-REx-ID: 22048 | OA
Killip R, Vişan M, Zhang X. Symplectic non-squeezing for the cubic NLS on the line. International Mathematics Research Notices. 2019;2019(5):1312-1332. doi:10.1093/imrn/rnx152
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[42]
2019 | Published | Journal Article | IST-REx-ID: 22066 | OA
Killip R, Murphy J, Vişan M. Almost sure scattering for the energy-critical NLS with radial data below H1(R4). Communications in Partial Differential Equations. 2019;44(1):51-71. doi:10.1080/03605302.2018.1541904
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[41]
2019 | Published | Journal Article | IST-REx-ID: 22077 | OA
Jao C, Killip R, Vişan M. Mass-critical inverse Strichartz theorems for 1d Schrödinger operators. Revista Matemática Iberoamericana. 2019;35(3):703-730. doi:10.4171/rmi/1067
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[40]
2018 | Published | Journal Article | IST-REx-ID: 22042 | OA
Killip R, Miao C, Vişan M, Zhang J, Zheng J. Sobolev spaces adapted to the Schrödinger operator with inverse-square potential. Mathematische Zeitschrift. 2018;288(3-4):1273-1298. doi:10.1007/s00209-017-1934-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Published | Journal Article | IST-REx-ID: 22045 | OA
Killip R, Murphy J, Vişan M. The initial-value problem for the cubic-quintic NLS with nonvanishing boundary conditions. SIAM Journal on Mathematical Analysis. 2018;50(3):2681-2739. doi:10.1137/17m1116702
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[38]
2018 | Published | Journal Article | IST-REx-ID: 22055 | OA
Killip R, Vişan M, Zhang X. Low regularity conservation laws for integrable PDE. Geometric and Functional Analysis. 2018;28(4):1062-1090. doi:10.1007/s00039-018-0444-0
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Published | Journal Article | IST-REx-ID: 22093 | OA
Koch H, Raphaël P, Tataru D, Vişan M. Nonlinear waves and dispersive equations. Oberwolfach Reports. 2018;14(2):1681-1745. doi:10.4171/owr/2017/27
[Published Version] View | DOI | Download Published Version (ext.)
 
[36]
2017 | Published | Journal Article | IST-REx-ID: 22025 | OA
Killip R, Masaki S, Murphy J, Vişan M. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations and Applications NoDEA. 2017;24(4). doi:10.1007/s00030-017-0463-9
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Published | Journal Article | IST-REx-ID: 22033 | OA
Killip R, Miao C, Vişan M, Zhang J, Zheng J. The energy-critical NLS with inverse-square potential. Discrete and Continuous Dynamical Systems. 2017;37(7):3831-3866. doi:10.3934/dcds.2017162
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2017 | Published | Journal Article | IST-REx-ID: 22071 | OA
Killip R, Oh T, Pocovnicu O, Vişan M. Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on R^3. Archive for Rational Mechanics and Analysis. 2017;225:469-548. doi:10.1007/s00205-017-1109-0
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[33]
2017 | Published | Journal Article | IST-REx-ID: 22088 | OA
Killip R, Murphy J, Vişan M, Zheng J. The focusing cubic NLS with inverse-square potential in three space dimensions. Differential and Integral Equations. 2017;30(3/4):161-206. doi:10.57262/die/1487386822
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[32]
2016 | Published | Journal Article | IST-REx-ID: 22037 | OA
Killip R, Vişan M, Zhang X. Riesz transforms outside a convex obstacle. International Mathematics Research Notices. 2016;2016(19):5875-5921. doi:10.1093/imrn/rnv338
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[31]
2016 | Published | Journal Article | IST-REx-ID: 22041 | OA
Killip R, Vişan M, Zhang X. Quintic NLS in the exterior of a strictly convex obstacle. American Journal of Mathematics. 2016;138(5):1193-1346. doi:10.1353/ajm.2016.0039
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[30]
2016 | Published | Journal Article | IST-REx-ID: 22051 | OA
Killip R, Murphy J, Vişan M. The final-state problem for the cubic-quintic NLS with nonvanishing boundary conditions. Analysis & PDE. 2016;9(7):1523-1574. doi:10.2140/apde.2016.9.1523
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[29]
2016 | Published | Journal Article | IST-REx-ID: 22052 | OA
Killip R, Vişan M, Zhang X. The focusing cubic NLS on exterior domains in three dimensions. Applied Mathematics Research eXpress. 2016;2016(1):146-180. doi:10.1093/amrx/abv012
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[28]
2016 | Published | Journal Article | IST-REx-ID: 22073 | OA
Killip R, Vişan M. Scale-invariant Strichartz estimates on tori and applications. Mathematical Research Letters. 2016;23(2):445-472. doi:10.4310/mrl.2016.v23.n2.a8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[27]
2014 | Published | Journal Article | IST-REx-ID: 22031 | OA
Killip R, Stovall B, Vişan M. Blowup behaviour for the nonlinear Klein-Gordon equation. Mathematische Annalen. 2014;358(1-2):289-350. doi:10.1007/s00208-013-0960-z
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[26]
2014 | Published | Book | IST-REx-ID: 22092
Koch H, Tataru D, Vişan M. Dispersive Equations and Nonlinear Waves: Generalized Korteweg–de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps. Vol 45. 1st ed. Basel: Springer; 2014. doi:10.1007/978-3-0348-0736-4
View | DOI
 
[25]
2013 | Published | Journal Article | IST-REx-ID: 22053 | OA
Killip R, Oh T, Pocovnicu O, Vişan M. Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. Mathematical Research Letters. 2013;19(5):969-986. doi:10.4310/mrl.2012.v19.n5.a1
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[24]
2012 | Published | Journal Article | IST-REx-ID: 22022 | OA
Killip R, Stovall B, Vişan M. Scattering for the cubic Klein-Gordon equation in two space dimensions. Transactions of the American Mathematical Society. 2012;364(3):1571-1631. doi:10.1090/s0002-9947-2011-05536-4
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[23]
2012 | Published | Journal Article | IST-REx-ID: 22024 | OA
Killip R, Vişan M. Global well-posedness and scattering for the defocusing quintic NLS in three dimensions. Analysis & PDE. 2012;5(4):855-885. doi:10.2140/apde.2012.5.855
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[22]
2012 | Published | Journal Article | IST-REx-ID: 22056 | OA
Killip R, Kwon S, Shao S, Vişan M. On the mass-critical generalized KdV equation. Discrete and Continuous Dynamical Systems. 2012;32(1):191-221. doi:10.3934/dcds.2012.32.191
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[21]
2012 | Published | Journal Article | IST-REx-ID: 22075 | OA
Vişan M. Global well-posedness and scattering for the defocusing cubic nonlinear Schrödinger equation in four dimensions. International Mathematics Research Notices. 2012;2012(5):1037-1067. doi:10.1093/imrn/rnr051
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[20]
2011 | Published | Journal Article | IST-REx-ID: 22040 | OA
Killip R, Vişan M. The defocusing energy-supercritical nonlinear wave equation in three space dimensions. Transactions of the American Mathematical Society. 2011;363(7):3893-3893. doi:10.1090/s0002-9947-2011-05400-0
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[19]
2011 | Published | Journal Article | IST-REx-ID: 22061 | OA
Killip R, Vişan M. The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions. Proceedings of the American Mathematical Society. 2011;139(5):1805-1817. doi:10.1090/s0002-9939-2010-10615-9
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[18]
2010 | Published | Journal Article | IST-REx-ID: 22023 | OA
Killip R, Vişan M. The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher. American Journal of Mathematics. 2010;132(2):361-424. doi:10.1353/ajm.0.0107
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2010 | Published | Journal Article | IST-REx-ID: 22029 | OA
Killip R, Vişan M. Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering. Communications in Partial Differential Equations. 2010;35(6):945-987. doi:10.1080/03605301003717084
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[16]
2010 | Published | Journal Article | IST-REx-ID: 22089 | OA
Killip R, Vişan M. The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher. American Journal of Mathematics. 2010;132(2):361-424. doi:10.1353/ajm.0.0107
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[15]
2009 | Published | Journal Article | IST-REx-ID: 22059 | OA
Killip R, Tao T, Vişan M. The cubic nonlinear Schrödinger equation in two dimensions with radial data. Journal of the European Mathematical Society. 2009;11(6):1203-1258. doi:10.4171/jems/180
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[14]
2009 | Published | Journal Article | IST-REx-ID: 22058 | OA
Killip R, Vişan M, Zhang X. Energy-critical NLS with quadratic potentials. Communications in Partial Differential Equations. 2009;34(12):1531-1565. doi:10.1080/03605300903328109
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[13]
2009 | Published | Journal Article | IST-REx-ID: 22078 | OA
Killip R, Li D, Vişan M, Zhang X. Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS. SIAM Journal on Mathematical Analysis. 2009;41(1):219-236. doi:10.1137/080720358
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[12]
2009 | Published | Journal Article | IST-REx-ID: 22085 | OA
Vişan M, Zhang X. Global well-posedness and scattering for a class of nonlinear Schröodinger equations below the energy space. Differential and Integral Equations. 2009;22(1/2):99-124. doi:10.57262/die/1356038556
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[11]
2009 | Published | Journal Article | IST-REx-ID: 22090 | OA
Killip R, Tao T, Vişan M. The cubic nonlinear Schrödinger equation in two dimensions with radial data. Journal of the European Mathematical Society. 2009;11(6):1203-1258. doi:10.4171/jems/180
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[10]
2008 | Published | Journal Article | IST-REx-ID: 22049 | OA
Tao T, Vişan M, Zhang X. Minimal-mass blowup solutions of the mass-critical NLS. Forum Mathematicum. 2008;20(5):881-919. doi:10.1515/forum.2008.042
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[9]
2008 | Published | Journal Article | IST-REx-ID: 22081 | OA
Colliander J, Holmer J, Vişan M, Zhang X. Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$. Communications on Pure and Applied Analysis. 2008;7(3):467-489. doi:10.3934/cpaa.2008.7.467
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[8]
2008 | Published | Journal Article | IST-REx-ID: 22082 | OA
Killip R, Vişan M, Zhang X. The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Analysis & PDE. 2008;1(2):229-266. doi:10.2140/apde.2008.1.229
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[7]
2007 | Published | Journal Article | IST-REx-ID: 22034 | OA
Vişan M, Zhang X. On the blowup for the L^2‐critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class. SIAM Journal on Mathematical Analysis. 2007;39(1):34-56. doi:10.1137/060663969
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[6]
2007 | Published | Journal Article | IST-REx-ID: 22039 | OA
Tao T, Vişan M, Zhang X. Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions. Duke Mathematical Journal. 2007;140(1):165-202. doi:10.1215/s0012-7094-07-14015-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[5]
2007 | Published | Journal Article | IST-REx-ID: 22047 | OA
Tao T, Vişan M, Zhang X. The nonlinear Schrödinger equation with combined power-type nonlinearities. Communications in Partial Differential Equations. 2007;32(8):1281-1343. doi:10.1080/03605300701588805
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2007 | Published | Journal Article | IST-REx-ID: 22050 | OA
Vişan M. The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions. Duke Mathematical Journal. 2007;138(2):281-374. doi:10.1215/s0012-7094-07-13825-0
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[3]
2007 | Published | Journal Article | IST-REx-ID: 22057 | OA
Ryckman E, Vişan M. Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4. American Journal of Mathematics. 2007;129(1):1-60. doi:10.1353/ajm.2007.0004
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
2006 | Published | Journal Article | IST-REx-ID: 22076 | OA
Goldberg M, Vişan M. A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. Communications in Mathematical Physics. 2006;266:211-238. doi:10.1007/s00220-006-0013-5
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
2005 | Published | Journal Article | IST-REx-ID: 22086 | OA
Tao T, Vişan M. Stability of energy-critical nonlinear Schrodinger equations in high dimensions. Electronic Journal of Differential Equations. 2005;2005(118):1-28.
[Preprint] View | Download Preprint (ext.) | arXiv
 
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