Cauchy problem for the fifth order Kadomtsev-Petviashvili (KPII) equation

DOI10.3934/cpaa.2006.5.887zbMath1142.35079OpenAlexW1998400395MaRDI QIDQ2464573

Yanyan Li

Publication date: 2 January 2008

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2006.5.887

zbMATH Keywords

Cauchy problemglobal well-posednessanisotropic Sobolev spacesKadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Related Items (10)

On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping ⋮ Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations ⋮ The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces ⋮ Global well-posedness for the fifth order Kadomtsev-Petviashvili II equation in three dimensional space ⋮ A local well-posed result for the fifth order KP-II initial value problem ⋮ Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations ⋮ Well-posedness of the fifth order Kadomtsev-Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices ⋮ Remarks on solitary waves of the generalized two dimensional Benjamin-Ono equation ⋮ Well-posedness for the fifth order KP-II initial data problem in \(H^{s, 0}(\mathbb{R} \times \mathbb{T})\) ⋮ On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation

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