Blow-Up Phenomena for Some Pseudo-Parabolic Equations with Nonlocal Term

被引：0

作者：

Liu, Gongwei ^{[1
]}

Tian, Shuying ^{[2
]}

机构：

[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Henan, Peoples R China

[2] Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan 430070, Hubei, Peoples R China

来源：

ANALYSIS IN THEORY AND APPLICATIONS | 2022年 / 38卷 / 04期

关键词：

Nonlocal pseudo-parabolic equations; blow-up; upper bound; lower bound; KLEIN-GORDON-MAXWELL; GLOBAL-SOLUTIONS; THRESHOLD; TIME;

D O I：

10.4208/ata.OA-2019-0021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the initial boundary value problem of some semilinear pseudo-parabolic equations with Newtonian nonlocal term. We establish a lower bound for the blow-up time if blow-up does occur. Also both the upper bound for T and blow up rate of the solution are given when J(u0) < 0. Moreover, we establish the blow up result for arbitrary initial energy and the upper bound for T. As a product, we refine the lifespan when J(u0) < 0.

引用

页码：451 / 466

页数：16

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