Blow-up and decay for a class of pseudo-parabolic p-Laplacian equation with logarithmic nonlinearity

被引：81

作者：

He, Yijun ^{[1
]}

Gao, Huaihong ^{[1
]}

Wang, Hua ^{[2
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

[2] Taiyuan Univ Sci & Technol, Dept Appl Math, Taiyuan 030024, Shanxi, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 02期

关键词：

Pseudo-parabolic p-Laplacian equation; Decay; Blow up; Logarithmic nonlinearity; GLOBAL WELL-POSEDNESS; INSTABILITY;

D O I：

10.1016/j.camwa.2017.09.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the pseudo-parabolic p-Laplacian equation u(t) - Delta u(t) - Delta(p)u = vertical bar u vertical bar(q-2)u log(vertical bar u vertical bar) in a bounded domain with homogeneous Dirichlet boundary conditions. When 2 < p < q < p(1 + 2/n), we obtain results of the decay and the finite time blow-up for weak solutions. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：459 / 469

页数：11

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