Global existence and blow-up to the solutions of a singular porous medium equation with critical initial energy

被引：3

作者：

Luo, Lirong ^{[1
]}

Zhou, Jun ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国博士后科学基金;

关键词：

singular porous medium equation; critical initial energy; global existence; blow-up;

D O I：

10.1186/s13661-016-0588-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of a singular porous medium equation, which was studied extensively in recent years. We obtain the global existence and blow-up condition at the critical initial energy E(u(0)) = d, while the previous papers only considered the case E(u(0)) < d, where d is a positive constant which will be given in the main part of this paper.

引用

页数：8

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