Blow-up upper and lower bounds for solutions of a class of higher order nonlinear pseudo-parabolic equations

被引：0

作者：

Zhu, Qianqian ^{[1
]}

Ye, Yaojun ^{[1
]}

Chang, Shuting ^{[1
]}

机构：

[1] Zhejiang Univ Sci & Technol, Dept Math & Stat, Hangzhou 310023, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 02期

关键词：

higher order pseudo-parabolic equation; memory term; blow-up; upper bound; lower bound; viscous parabolic type equations; DEGENERATE EVOLUTION-EQUATIONS; SEMILINEAR HEAT-EQUATION; NUMERICAL SCHEMES; GLOBAL EXISTENCE; CAUCHY-PROBLEM; NONEXISTENCE; SYSTEM;

D O I：

10.3934/era.2024046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the initial boundary value problem for a class of higher-order nonlinear pseudo-parabolic equations with a memory term. First, the blow-up results of the solution when the initial energy is negative or positive are obtained by using concavity analysis, and an upper bound on the blow-up time T* is given. Second, a lower bound on the blow-up time T* is obtained by applying differential inequalities when the solutions blow up.

引用

页码：945 / 961

页数：17

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