Scattering for the Defocusing, Nonlinear Schrödinger Equation With Initial Data in a Critical Space

DOI10.1093/IMRN/RNAC296arXiv2110.06987OpenAlexW4307953071MaRDI QIDQ6182655

Benjamin Dodson

Publication date: 25 January 2024

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06987

zbMATH Keywords

scatteringnonlinear Schrödinger equation

Mathematics Subject Classification ID

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) Strong solutions to PDEs (35D35)

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