The Cauchy problem for a two-dimensional generalized Kadomtsev–Petviashvili-I equation in anisotropic Sobolev spaces

DOI10.1142/S0219530519500180zbMath1434.35171arXiv1709.01983WikidataQ127192765 ScholiaQ127192765MaRDI QIDQ5107668

Yongsheng Li, Wei Yan, Jin-qiao Duan, Jian Hua Huang

Publication date: 28 April 2020

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

Full work available at URL: https://arxiv.org/abs/1709.01983

zbMATH Keywords

anisotropic Sobolev spacesbilinear estimatesgeneralized KP-I 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 (4)

Classical solutions for 1-dimensional and 2-dimensional Boussinesq equations ⋮ Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation ⋮ Low regularity well-posedness for KP-I equations: the dispersion-generalized case ⋮ Instability and blow-up of solutions of the fifth-order KP equation

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