Progress in initial-boundary value problems for nonlinear evolution equations and the Fokas method

DOI10.1007/978-3-031-37404-3_19zbMATH Open1547.35626MaRDI QIDQ6608636

A. Alexandrou Himonas

Publication date: 20 September 2024

zbMATH Keywords

initial-boundary value problemintegrabilityKorteweg-de Vries equationwell-posedness in Sobolev spacesFokas unified transform methodlinear space-time estimatesbilinear estimates in Bourgain spaces

Mathematics Subject Classification ID

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) 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)

Cites Work

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