LOCAL WELL POSEDNESS OF CAUCHY PROBLEM FOR VISCOUS DIFFUSION EQUATIONS

被引：2
|
作者：
Liu, Yacheng [1 ]
Xu, Runzhang [2 ]
机构：
[1] Harbin Engn Univ, Coll Sci, Harbin 150001, Peoples R China
[2] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2009年 / 20卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Viscous diffusion equations; Cauchy problem; W-k; W-p solution; blow up; CAHN-HILLIARD EQUATION;
D O I：
10.1142/S0129167X09005364
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Cauchy problem of multi-dimensional viscous diffusion equations. By using an equivalent integral equations, we get the existence of local W-k,W-p solutions. And we prove the finite time blow up of solutions under appropriate conditions.
引用
收藏
页码：509 / 519
页数：11
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