Well-posedness of the initial-boundary value problem for the fourth-order nonlinear Schrödinger equation

DOI10.3934/DCDSB.2021205zbMath1500.35259OpenAlexW3188857313MaRDI QIDQ2090327

Jun Wu, Bo-ling Guo

Publication date: 25 October 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021205

zbMATH Keywords

initial-boundary value problemlocal well-posednessnonlinear smoothingfourth-order nonlinear Schrödinger equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) PDEs of mixed type (35M10) 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) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (1)

Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line

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