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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