The Defocusing Energy-Supercritical Nonlinear Schrödinger Equation in High Dimensions

DOI10.1137/21M1456443zbMath1492.35312OpenAlexW4281552620MaRDI QIDQ5081160

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Publication date: 13 June 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1456443

zbMATH Keywords

scatteringnonlinear Schrödinger equationglobal well-posednessblow-up criterionenergy-supercritical

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Periodic solutions to PDEs (35B10) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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