Global existence and blow-up phenomena for p-Laplacian heat equation with inhomogeneous Neumann boundary conditions

被引:0
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作者
Fushan Li
Jinling Li
机构
[1] Qufu Normal University,School of Mathematical Sciences
关键词
p-Laplacian heat equation; inhomogeneous; global existence; blow-up;
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学科分类号
摘要
In this paper, we consider a p-Laplacian heat equation with inhomogeneous Neumann boundary condition. We establish respectively the conditions on the nonlinearities to guarantee that the solution u(x,t) exists globally or blows up at some finite time. If blow-up occurs, we obtain upper and lower bounds of the blow-up time by differential inequalities.
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