The nonlinear Schrödinger equation on the half-line with a Robin boundary condition

DOI10.1007/s13324-021-00589-yzbMath1478.35191OpenAlexW3194706460MaRDI QIDQ2240803

A. Alexandrou Himonas, Dionyssios Mantzavinos

Publication date: 4 November 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-021-00589-y

zbMATH Keywords

initial-boundary value problemnonlinear Schrödinger equationRobin boundary conditionwell-posedness in Sobolev spaces\(L^2\)-boundedness of Laplace transformlinear space-time estimatesunified transform method of Fokas

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace transform (44A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for linear higher-order PDEs (35G16) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items

The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces ⋮ The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair ⋮ The nonlinear Schrödinger equation on the half‐line with homogeneous Robin boundary conditions ⋮ The Majda-Biello system on the half-line

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