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Global well-posedness for the fifth-order Kadomtsev–Petviashvili II equation in anisotropic Gevrey spaces
Dynamics of Partial Differential Equations ( IF 1.1 ) Pub Date : 2021-06-01 , DOI: 10.4310/dpde.2021.v18.n2.a2 Aissa Boukarou 1 , Daniel Oliveira da Silva 2 , Kaddour Guerbati 1 , Khaled Zennir 3
Dynamics of Partial Differential Equations ( IF 1.1 ) Pub Date : 2021-06-01 , DOI: 10.4310/dpde.2021.v18.n2.a2 Aissa Boukarou 1 , Daniel Oliveira da Silva 2 , Kaddour Guerbati 1 , Khaled Zennir 3
Affiliation
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.
中文翻译:
各向异性Gevrey空间中五阶Kadomtsev–Petviashvili II方程的整体适定性
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,它补充了该方程在各向异性Sobolev空间中的适定性的早期结果。
更新日期:2021-05-11
中文翻译:
各向异性Gevrey空间中五阶Kadomtsev–Petviashvili II方程的整体适定性
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,它补充了该方程在各向异性Sobolev空间中的适定性的早期结果。