Low regularity for the fifth order Kadomtsev-Petviashvili-I type equation

DOI10.1016/j.jde.2017.06.032zbMath1400.35050OpenAlexW2737016058MaRDI QIDQ1785935

Zhaohui Huo, Shao-mei Fang, Bo-ling Guo

Publication date: 2 October 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.06.032

zbMATH Keywords

well-posednessfdyadic \(X_{s, b}\) spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (3)

The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces ⋮ Low regularity well-posedness for KP-I equations: the dispersion-generalized case ⋮ Instability and blow-up of solutions of the fifth-order KP equation

Cites Work

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• Global well-posedness of the KP-I initial-value problem in the energy space
• Well-posedness of the fifth order Kadomtsev-Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices
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• Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
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• The Cauchy problem for the fifth order KP equations
• On the local and global well-posedness theory for the KP-I equation
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• Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
• Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
• Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves
• A bilinear estimate with applications to the KdV equation
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