The well posedness of the dissipative Korteweg-de Vries equations with low regularity data

被引：3

作者：

Han, Jinsheng ^{[1
]}

Peng, Lizhong ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 01期

关键词：

dissipative Korteweg de Vries equation; Bourgain type space; well posedness;

D O I：

10.1016/j.na.2007.05.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By working in a Bourgain type space we prove the local and global well posedness results for Sobolev spaces of negative order, and the order number is lower than the well known value -3/4. In some sense this paper is intended to show how the Bourgain type space is applicable to the study of semilinear equations with a linear part which contain both dissipative mid dispersive terms. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：171 / 188

页数：18

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