Boundary behavior of the solution to the linear Korteweg‐De Vries equation on the half line

DOI10.1111/sapm.12542OpenAlexW4309836730MaRDI QIDQ6148568

Ioannis G. Stratis, Unnamed Author, Spyridon Kamvissis

Publication date: 7 February 2024

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

Full work available at URL: https://doi.org/10.1111/sapm.12542

zbMATH Keywords

classical solutionmixed initial-boundary value problemsunified transform methodsmoothness up to the boundaryEhrenpreis-Palamodov representationFokas formulaforced linearized KdV equation on the half-linelong-space estimates

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) Solutions to PDEs in closed form (35C05) Riemann-Hilbert problems in context of PDEs (35Q15) Classical solutions to PDEs (35A09)

Related Items (1)

Integral representations for the double-diffusivity system on the half-line

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