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
收藏
页码：1584 / 1603
页数：20
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