Blow up and exponential growth for a pseudo-parabolic equation with p(x)-Laplacian and variable exponents

被引：5
|
作者：
Di, Huafei [1 ]
Qian, Xian [1 ]
Peng, Xiaoming [2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangdong Univ Finance & Econ, Sch Stat & Math, Guangzhou 510320, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 138卷
关键词：
Pseudo-parabolic equation; Finite time blow up; Exponential growth; Variable exponents; p(x)-Laplacian; SPACES; EXISTENCE;
D O I：
10.1016/j.aml.2022.108517
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Considered herein is the initial-boundary value problem for the pseudo-parabolic equation u(t)-?u(t)-div (|?u|(p(x)-2)?u)+?|u|(m(x)-2)u(t) = b|u|(r(x)-2)u. We first give a finite time blow up criterion and then establish upper bound estimate of blow up time. In addition, we investigate the exponential growth rate of the solutions under certain conditions.
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页数：8
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