Energy classification in a nonstandard fourth-order parabolic equation with a Navier boundary condition

被引：0

作者：

Liu, Bingchen ^{[1
]}

Sun, Xizheng ^{[1
]}

Wang, Yiming ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao 266580, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 04期

关键词：

asymptotic behavior; blow-up; extinction; higher order parabolic equation; potential well method; TIME BLOW-UP; GLOBAL EXISTENCE; VARIABLE EXPONENT; INITIAL DATA; EXTINCTION; BEHAVIOR;

D O I：

10.1002/mma.8717

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a fourth-order parabolic equation involving variable exponents, subject to Navier boundary conditions. We firstly give an optimal classification on the initial energy for blow-up or global solutions, which is characterized by the sign of the Nehari energy and the difference between the initial energy and the depth of the potential well. Then, large time estimates of solutions are obtained. The results of the paper extend and complete the ones in "Applied Mathematics Letters 78(2018)141-146."

引用

页码：3703 / 3720

页数：18

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