Asymptotic estimate of weak solutions in a fourth-order parabolic equation with logarithm

被引：4
|
作者：
Liu, Bingchen [1 ]
Li, Ke [1 ]
Li, Fengjie [1 ]
机构：
[1] China Univ Petr, Coll Sci, Qingdao 266590, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 01期
关键词：
TIME BLOW-UP; GLOBAL EXISTENCE;
D O I：
10.1063/5.0088490
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper deals with an initial-boundary problem of the fourth-order parabolic equation involving two logarithm terms. First, we give some results for blow-up or global solutions through classifying the initial energy and the Nehari energy. Second, we show asymptotic estimates about blow-up time and a large time estimate of solutions, respectively.
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收藏
页数：19
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