On the Cauchy problem for a doubly nonlinear degenerate parabolic equation with strongly nonlinear sources

被引：0

作者：

ZHENG TingTing & ZHAO JunNing School of Mathematical Sciences

机构：

来源：

ScienceinChina(SeriesA:Mathematics) | 2008年 / 11期

基金：

中国国家自然科学基金;

关键词：

degenerate parabolic; nonlinear sources; global and local solutions;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this article, we consider the existence of local and global solution to the Cauchy problem of a doubly nonlinear equation. By introducing the norms |||f|||h and <f>h, we give the suffcient and necessary conditions on the initial value to the existence of local solution of doubly nonlinear equation. Moreover some results on the global existence and nonexistence of solutions are considered.

引用

页码：2059 / 2071

页数：13

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