A remark on the well-posedness for a system of quadratic derivative nonlinear Schrödinger equations

DOI10.3934/CPAA.2022101zbMath1498.35503OpenAlexW4285231123MaRDI QIDQ2079196

Mamoru Okamoto, Shinya Kinoshita, Hiroyuki Hirayama

Publication date: 29 September 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022101

zbMATH Keywords

energy methodCauchy problemwell-posednessSchrödinger equationmodified energy

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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