A local well-posed result for the fifth order KP-II initial value problem

DOI10.1016/j.jmaa.2013.01.069zbMath1310.35207OpenAlexW2013368831MaRDI QIDQ1947329

Shaoguang Shi, Junfeng Li

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.069

zbMATH Keywords

well-posednessbilinear estimatesStrichartz estimatesKadomtsev-Petviashvili-II equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (6)

On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping ⋮ 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 ⋮ Global well-posedness of the two-dimensional Benjamin equation in the energy space ⋮ 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

Cites Work

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• Local well-posedness for the dispersion generalized periodic KdV equation
• Global well-posedness for the KP-II equation on the background of a non-localized solution
• Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
• The Cauchy problem for higher-order KP equations
• On the Cauchy problem for the Kadomtsev-Petviashvili equation
• The Cauchy problem for the fifth order KP equations
• Global well-posedness for the Kadomtsev-Petviashvili II equation
• Uniform decay estimates for a class of oscillatory integrals and applications
• Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
• Cauchy problem for the fifth order Kadomtsev-Petviashvili (KPII) equation
• LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
• Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations

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