具有非线性记忆项的半线性双波动方程解的全局非存在性

数学物理学报 ›› 2021, Vol. 41 ›› Issue (5): 1372-1381.

具有非线性记忆项的半线性双波动方程解的全局非存在性

欧阳柏平^1,*(),肖胜中²()

¹ 广州华商学院广州 511300
² 广东农工商职业技术学院广州 510507

收稿日期:2021-01-11 出版日期:2021-10-26 发布日期:2021-10-08
通讯作者: 欧阳柏平 E-mail:oytengfei79@tom.com;1246683963@qq.com
作者简介:肖胜中, E-mail: 1246683963@qq.com
基金资助:
国家自然科学基金(11371175);广东省普通高校创新团队(2020WCXTD008);广东财经大学华商学院校内项目(2020HSDS01);广州华商学院科研团队(2021HSKT01)

Nonexistence of Global Solutions for a Semilinear Double-Wave Equation with a Nonlinear Memory Term

Baiping Ouyang^1,*(),Shengzhong Xiao²()

¹ Guangzhou Huashang College, Guangzhou 511300
² Guangdong AIB Polytechnic College, Guangzhou 510507

Received:2021-01-11 Online:2021-10-26 Published:2021-10-08
Contact: Baiping Ouyang E-mail:oytengfei79@tom.com;1246683963@qq.com
Supported by:
the NSFC(11371175);the Innovation Team Project in Colleges and Universities of Guangdong Province(2020WCXTD008);the Science Foundation of Huashang College Guangdong University of Finance & Economics(2020HSDS01);the Science Research Team Project in Guangzhou Huashang College(2021HSKT01)

摘要/Abstract

摘要：

研究了具有非线性记忆项的半线性双波动方程解的全局非存在性.通过建立辅助函数，运用非线性积分不等式相关的迭代方法，得到了解的生命跨度上界估计.

关键词: 半线性双波动方程, 爆破, 非线性记忆项, 生命跨度

Abstract:

In this paper, we investigate the blow-up of solutions to a semilinear double-wave equation with a nonlinear memory term. By establishing some auxiliary functions and using iteration methods associated with a nonlinear integral inequality, the estimate of upper bound for the lifespan is obtained.

Key words: Semilinear double-wave equation, Blow-up, Nonlinear memory term, Lifespan

中图分类号:

O175.4

欧阳柏平,肖胜中. 具有非线性记忆项的半线性双波动方程解的全局非存在性[J]. 数学物理学报, 2021, 41(5): 1372-1381.

Baiping Ouyang,Shengzhong Xiao. Nonexistence of Global Solutions for a Semilinear Double-Wave Equation with a Nonlinear Memory Term[J]. Acta mathematica scientia,Series A, 2021, 41(5): 1372-1381.

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