Sharp threshold for blow-up and global existence in a semilinear parabolic equation with variable source

被引：0
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作者：
Jinge Yang
Haixiong Yu
机构：
[1] Nanchang Institute of Technology,School of Sciences
来源：
Boundary Value Problems | / 2017卷
关键词：
semilinear parabolic equations; variable source; initial energy; global existence; blow-up;
D O I：
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学科分类号：
摘要：
This paper deals with a semilinear parabolic equation with variable source under the case that the initial energy is less than the potential well depth. We deduce a sharp threshold for blow-up and global existence of solutions. Furthermore, we conclude that the global solution decays as the time goes to infinity.
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