Almost sure scattering for the energy-critical NLS with radial data below H1(R4)
Killip R, Murphy J, Vişan M. 2019. Almost sure scattering for the energy-critical NLS with radial data below H1(R4). Communications in Partial Differential Equations. 44(1), 51–71.
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Author
Killip, Rowan;
Murphy, Jason;
Vişan, MonicaISTA
Abstract
We prove almost sure global existence and scattering for the energy-critical nonlinear Schrödinger equation with randomized spherically symmetric initial data in 𝐻𝑠(ℝ4) with
5/6<𝑠<1. We were inspired to consider this problem by the recent work of Dodson–Lührmann–Mendelson, which treated the analogous problem for the energy-critical wave equation.
Mathematics Subject Classification
Publishing Year
Date Published
2019-02-15
Journal Title
Communications in Partial Differential Equations
Publisher
Informa UK Limited
Volume
44
Issue
1
Page
51-71
ISSN
eISSN
IST-REx-ID
Cite this
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
Killip, R., Murphy, J., & Vişan, M. (2019). Almost sure scattering for the energy-critical NLS with radial data below H1(R4). Communications in Partial Differential Equations. Informa UK Limited. https://doi.org/10.1080/03605302.2018.1541904
Killip, Rowan, Jason Murphy, and Monica Vişan. “Almost Sure Scattering for the Energy-Critical NLS with Radial Data below H1(R4).” Communications in Partial Differential Equations. Informa UK Limited, 2019. https://doi.org/10.1080/03605302.2018.1541904.
R. Killip, J. Murphy, and M. Vişan, “Almost sure scattering for the energy-critical NLS with radial data below H1(R4),” Communications in Partial Differential Equations, vol. 44, no. 1. Informa UK Limited, pp. 51–71, 2019.
Killip R, Murphy J, Vişan M. 2019. Almost sure scattering for the energy-critical NLS with radial data below H1(R4). Communications in Partial Differential Equations. 44(1), 51–71.
Killip, Rowan, et al. “Almost Sure Scattering for the Energy-Critical NLS with Radial Data below H1(R4).” Communications in Partial Differential Equations, vol. 44, no. 1, Informa UK Limited, 2019, pp. 51–71, doi:10.1080/03605302.2018.1541904.
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