Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L2 norm

DOI10.1111/sapm.12559zbMath1529.35444arXiv2211.05329OpenAlexW4315482317MaRDI QIDQ6089558

Yu Feng Lu

Publication date: 15 December 2023

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.05329

zbMATH Keywords

well-posednessKdVfourth-order nonlinear Schrödinger equationscaling limit of modulation space

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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)

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