Initial boundary value problem for p-Laplacian type parabolic equation with singular potential and logarithmic nonlinearity

被引：0
作者：
Wen-Shuo Yuan
Bin Ge
Qing-Hai Cao
机构：
[1] Harbin Engineering University,School of Mathematical Sciences
来源：
Analysis and Mathematical Physics | 2023年 / 13卷
关键词：
Pseudo parabolic equation; -Laplacian; Logarithmic nonlinearity; Singular potential; Local existence; Global existence; Decay estimate; Blow-up;
D O I：
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学科分类号：
摘要：
The aim of this paper is to utilize special skills and potential well method to deal with questions of local and global well-posedness to a nonlinear diffusion equation driven by the p-Laplace operator, which reveals a subtle relationship between singular potential and nonlinear operator, and further generalizes some previous early results about local existence of the weak solution from a class of evolution equations involved the linear dissipative term and singular potential. Specifically, the results of stability and blow-up of solutions are established for the first time to this initial boundary value problem with singular potential.
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