A note on the Cauchy problem for the 2D generalized Zakharov-Kuznetsov equations

DOI10.1016/J.CRMA.2012.05.007zbMath1248.35189arXiv1111.4384OpenAlexW2066884096MaRDI QIDQ432683

Francis Ribaud, Stéphane Vento

Publication date: 4 July 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4384

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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Cites Work

• Unnamed Item
• Local and global well-posedness for the 2D generalized Zakharov-Kuznetsov equation
• Well-Posedness Results for the Three-Dimensional Zakharov--Kuznetsov Equation
• Well-posedness for the Generalized Benjamin–Ono Equations with Arbitrary Large Initial Data in the Critical Space
• Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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