Global existence and nonexistence of solutions for quasilinear parabolic equation

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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
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关键词
family of potential wells; global existence; nonexistence; vacuum isolating; critical value;
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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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