Global existence and nonexistence of solutions for quasilinear parabolic equation

被引：0
|
作者：
Xianghui Xu
Yong-Hoon Lee
Zhong Bo Fang
机构：
[1] Pusan National University,Department of Mathematics
[2] Ocean University of China,School of Mathematical Sciences
来源：
Boundary Value Problems | / 2014卷
关键词：
family of potential wells; global existence; nonexistence; vacuum isolating; critical value;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work is concerned with the global existence and nonexistence of solutions for a quasilinear parabolic equation with null Dirichlet boundary condition. Based on the Galerkin approximation technique and the theory of a family of potential wells, we obtain the invariant sets and vacuum isolating of global solutions including critical case, and we also give global nonexistence.
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