A class of fourth-order parabolic equation with logarithmic nonlinearity

被引：14
|
作者：
Li, Pingping [1 ]
Liu, Changchun [1 ]
机构：
[1] Jilin Univ, Dept Math, Changchun, Jilin, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词：
Global existence; Blow-up; Logarithmic source term; BLOW-UP; GLOBAL SOLUTION;
D O I：
10.1186/s13660-018-1920-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of fourth-order parabolic equation with the logarithmic nonlinearity. By using the potential well method, we obtain the existence of the unique global weak solution. In addition, we also obtain results of decay and blow-up in the finite time for the weak solution.
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页数：21
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