Local well-posedness of KP-I initial value problem on torus in the Besov space

DOI10.1080/03605302.2015.1126733zbMath1342.35078OpenAlexW2280193102MaRDI QIDQ2810600

Yu Zhang

Publication date: 3 June 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2015.1126733

zbMATH Keywords

Besov spaceperiodic boundary conditions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (5)

Transverse stability issues in Hamiltonian PDE ⋮ Well-posedness for a two-dimensional dispersive model arising from capillary-gravity flows ⋮ The Cauchy problem for the rotation-modified Kadomtsev-Petviashvili type equation ⋮ The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces ⋮ Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces

Cites Work

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• The initial-value problem for the Korteweg-de Vries equation
• Local and global results for wave maps I
• Well-posedness for the fifth-order KdV equation in the energy space

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