The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces

DOI10.1016/j.na.2022.113008zbMath1492.35265OpenAlexW4281722508WikidataQ113868540 ScholiaQ113868540MaRDI QIDQ2145660

A. Alexandrou Himonas, Fangchi Yan

Publication date: 17 June 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2022.113008

zbMATH Keywords

integrabilityinitial-boundary value problemsKorteweg-de Vries equationBourgain spaceswell-posedness in Sobolev spacesFokas unified transform methodlinear and bilinear estimatesRobin and Neumann conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial-boundary value problems for linear higher-order PDEs (35G16) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (1)

The Majda-Biello system on the half-line

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