New blow-up criteria for a semilinear pseudo-parabolic equation with general nonlinearity

被引：1

作者：

Li, Xiatong ^{[1
]}

Fang, Zhong Bo ^{[1
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 16期

关键词：

blow-up; growth estimation; life span; semilinear pseudo-parabolic equation; HYPERBOLIC-EQUATIONS; GLOBAL EXISTENCE; POTENTIAL WELLS; SOBOLEV TYPE; INSTABILITY;

D O I：

10.1002/mma.8315

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the blow-up phenomena for a semilinear pseudo-parabolic equation with general nonlinearity under the null Dirichlet boundary condition. When the nonlinearity satisfies a new structural condition, we obtain some new blow-up criteria with different initial energy levels and derive the growth estimations and life span of blow-up solutions.

引用

页码：9438 / 9455

页数：18

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