The Schrödinger-Korteweg-de Vries system on the half-line

DOI10.1016/J.APNUM.2022.12.018zbMATH Open1548.35237MaRDI QIDQ6546907

Fangchi Yan, A. Alexandrou Himonas

Publication date: 30 May 2024

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

zbMATH Keywords

initial-boundary value problemwell-posedness in Sobolev spacesFokas unified transform methodSchrödinger-Korteweg-de Vries systemlinear space-time estimatesbilinear and trilinear estimates in Bourgain spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Fixed-point theorems (47H10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) 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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