各向异性Gevrey空间中五阶Kadomtsev–Petviashvili II方程的全局适定性

IF 1.1 3区 数学 Q2 MATHEMATICS, APPLIED Dynamics of Partial Differential Equations Pub Date : 2020-06-23 DOI:10.4310/DPDE.2021.V18.N2.A2
A. Boukarou, Daniel Oliveira da Silva, K. Guerbati, K. Zennir
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引用次数: 4

摘要

我们证明了五阶Kadomtsev Petviashvili II方程在各向异性Gevrey空间中是全局适定的,这补充了关于该方程在各向同性Sobolev空间中的适定性的早期结果。
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Global well-posedness for the fifth-order Kadomtsev–Petviashvili II equation in anisotropic Gevrey spaces
We show that the fifth-order Kadomtsev-Petviashvili II equation is globally well-posed in an anisotropic Gevrey space, which complements earlier results on the well-posedness of this equation in anisotropic Sobolev spaces.
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来源期刊
CiteScore
2.00
自引率
0.00%
发文量
7
审稿时长
>12 weeks
期刊介绍: Publishes novel results in the areas of partial differential equations and dynamical systems in general, with priority given to dynamical system theory or dynamical aspects of partial differential equations.
期刊最新文献
Stability of a class of solutions of the barotropic vorticity equation on a sphereequation on a sphere On the Cauchy problem for a Kadomtsev-Petviashvili hierarchy on non-formal operators and its relation with a group of diffeomorphisms Maximum principle for the fractional N-Laplacian flow Low Mach number limit of the full compressibleNavier-Stokes-Korteweg equations with general initial data On the well-posedness in Besov–Herz spaces for the inhomogeneous incompressible Euler equations
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