Note on a higher order pseudo-parabolic equation with variable exponents

被引：1
|
作者：
Liu, Bingchen [1 ]
Li, Yang [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 / 16期
关键词：
asymptotic estimate; blow-up; extinction; fourth-order pseudo-parabolic equation; global existence; TIME BLOW-UP; INITIAL DATA; EXISTENCE; BEHAVIOR;
D O I：
10.1002/mma.9477
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a higher order pseudo-parabolic equation involving p(x)$$ p(x) $$-Laplacian with the Navier boundary condition. We use the energy method, the Sobolev embedding inequalities and the Galerkin's approximation to show the classification of singular solutions, including the existence and nonexistence of global, blow-up, and extinction solutions. Extinction rates and time of extinction solutions, blow-up time of blow-up solutions, and decay estimates of global solutions are discussed.
引用
收藏
页码：16840 / 16856
页数：17
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