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9 Publications


2025 | Published | Journal Article | IST-REx-ID: 22021 | OA
Global well-posedness and equicontinuity for modified Korteweg–de Vries equations in modulation spaces
S. Haque, R. Killip, M. Vişan, Y. Zhang, Pure and Applied Analysis 7 (2025) 615–637.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2023 | Published | Journal Article | IST-REx-ID: 22046 | OA
Continuum limit for the Ablowitz–Ladik system
R. Killip, Z. Ouyang, M. Vişan, L. Wu, Nonlinearity 36 (2023) 3751–3775.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2018 | Published | Journal Article | IST-REx-ID: 22042 | OA
Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
R. Killip, C. Miao, M. Vişan, J. Zhang, J. Zheng, Mathematische Zeitschrift 288 (2018) 1273–1298.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2018 | Published | Journal Article | IST-REx-ID: 22045 | OA
The initial-value problem for the cubic-quintic NLS with nonvanishing boundary conditions
R. Killip, J. Murphy, M. Vişan, SIAM Journal on Mathematical Analysis 50 (2018) 2681–2739.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2016 | Published | Journal Article | IST-REx-ID: 22051 | OA
The final-state problem for the cubic-quintic NLS with nonvanishing boundary conditions
R. Killip, J. Murphy, M. Vişan, Analysis & PDE 9 (2016) 1523–1574.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2013 | Published | Journal Article | IST-REx-ID: 22053 | OA
Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions
R. Killip, T. Oh, O. Pocovnicu, M. Vişan, Mathematical Research Letters 19 (2013) 969–986.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2008 | Published | Journal Article | IST-REx-ID: 22049 | OA
Minimal-mass blowup solutions of the mass-critical NLS
T. Tao, M. Vişan, X. Zhang, Forum Mathematicum 20 (2008) 881–919.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2007 | Published | Journal Article | IST-REx-ID: 22047 | OA
The nonlinear Schrödinger equation with combined power-type nonlinearities
T. Tao, M. Vişan, X. Zhang, Communications in Partial Differential Equations 32 (2007) 1281–1343.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2007 | Published | Journal Article | IST-REx-ID: 22050 | OA
The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
M. Vişan, Duke Mathematical Journal 138 (2007) 281–374.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

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