Blow-up of solutions for a wave equation with nonlinear averaged damping and nonlocal nonlinear source terms

被引：6

作者：

Hu, Qingying ^{[1
]}

Li, Donghao ^{[1
]}

Liu, Shuo ^{[1
]}

Zhang, Hongwei ^{[1
]}

机构：

[1] Henan Univ Technol, Dept Math, Zhengzhou 450001, Peoples R China

来源：

QUAESTIONES MATHEMATICAE | 2023年 / 46卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Wave equation; initial boundary value problem; nonlinear averaged damping; nonlocal nonlinear source; blow-up; LONG-TIME DYNAMICS; PLATE EQUATION; GLOBAL-SOLUTIONS; WELL-POSEDNESS; EVOLUTION-EQUATIONS; ENERGY; NONEXISTENCE; ATTRACTOR; INSTABILITY; EXISTENCE;

D O I：

10.2989/16073606.2022.2039972

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The initial-boundary value problem for a wave equation with nonlinear averaged damping and nonlocal nonlinear source term is considered. We provide the sufficient conditions of finite time blow-up for weak solutions with suitable conditions on initial data by an ordinary differential inequality for an appropriately chosen functional.

引用

页码：695 / 710

页数：16

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