Global Well-Posedness for the Fifth-Order Kadomtsev-Petviashvili II\n Equation in Anisotropic Gevrey Spaces

2020/06/23 by Aissa Boukarou, Daniel Oliveira da Silva, Boukarou, Aissa +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2006.12859

openalex publication_date 2020/06/23 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We show that the fifth-order Kadomtsev-Petviashvili II equation is globally\nwell-posed in an anisotropic Gevrey space, which complements earlier results on\nthe well-posedness of this equation in anisotropic Sobolev spaces.\n

Cited by

• On the Gevrey regularity of the fifth-order Kadomtsev-Petviashvili-II equation: An improved approach

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