Almost sure well-posedness and scattering of the 3D cubic nonlinear Schr\"odinger equation

DOI10.1007/S00220-022-04500-ZzbMath1512.35551arXiv2110.11648MaRDI QIDQ6381014

Avy Soffer, Jia Shen, Yifei Wu

Publication date: 22 October 2021

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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