Local well-posedness of the derivative Schrödinger equation in higher dimension for any large data

DOI10.1007/S11401-022-0373-YzbMath1504.35478OpenAlexW4310862224MaRDI QIDQ2105893

Zhaohui Huo, Bo-ling Guo

Publication date: 8 December 2022

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-022-0373-y

zbMATH Keywords

well-posednesslarge initial dataderivative Schrödinger equation in higher dimensionshort-time \(X_{s, b}\)

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

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