On the well-posedness for Kadomtsev-Petviashvili-Burgers I equation

被引：6

作者：

Darwich, Mohamad ^{[1
]}

机构：

[1] Univ Tours, Lab Math & Phys Theor, UMR CNRS 7350, F-37200 Tours, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 253卷 / 05期

关键词：

Dispersive PDEs; Bourgain spaces; Strichartz estimates; CAUCHY-PROBLEM; SPACES;

D O I：

10.1016/j.jde.2012.05.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove local and global well-posedness in H-s.0(R-2). s > -1/2 for the Cauchy problem associated with the Kadomtsev-Petviashvili-Burgers I equation (KPBI) by working in Bourgain's type spaces. This result is almost sharp if one requires the flow-map to be smooth. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1584 / 1603

页数：20

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