LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
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DOI：
10.1081/pde-100002387
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发表时间：
2001-04
影响因子：
1.9
通讯作者：
P. Isaza;J. Mejia
中科院分区：
文献类型：
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作者：
P. Isaza;J. Mejia
证明了Kadomtsev-Petviashvili II（KPII）方程的Cauchy问题在各向异性Sobolev空间Hs 1 s2（R2）中是局部适定的，其中s1>-pseudonands 2 ≥ 0;在Hs 10（R2）中是整体适定的，其中s1>-.本文部分由Colciencias，Colombia提供支持，grant：1118-05-605-96.
It is proved that the Cauchy problem for the Kadomtsev-Petviashvili II (KPII) equation is locally well posed in the anisotropic Sobolev spaces H s 1 s 2 (R 2) with s 1 > −⅓ and s 2 ≥ 0, and globally well posed in H s 10(R 2) with s 1 > − . This article is partially supported by Colciencias, Colombia, grant: 1118-05-605-96.