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

被引：2

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.

引用

页数：8

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