一类具有非线性项的弱耦合半线性双波动系统全局解的非存在性

欧阳柏平; 侯春娟

doi:10.6054/j.jscnun.2023041

一类具有非线性项的弱耦合半线性双波动系统全局解的非存在性

doi: 10.6054/j.jscnun.2023041

欧阳柏平^,,
侯春娟

广州华商学院数据科学学院，广州 511300

基金项目:

广东省基础与应用基础研究基金省市联合基金项目 2021A1515111048

广东省普通高校重点项目(自然科学) 2019KZDXM042

广州华商学院校内项目 2020HSDS01

详细信息

通讯作者:
欧阳柏平, Email: oytengfei79@tom.com

中图分类号: O175.4
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- 文章访问数: 12
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- PDF下载量: 1
- 被引次数: 0
出版历程
- 收稿日期: 2022-10-22
- 网络出版日期: 2023-08-26
- 刊出日期: 2023-06-25

Nonexistence of Global Solutions to a Class of Weakly Coupled Semilinear Double-Wave System with Nonlinear Terms

OUYANG Baiping^,,
HOU Chunjuan

College of Data Science, Guangzhou Huashang College, Guangzhou 511300, China

摘要

摘要: 考虑了一类非线性项的弱耦合半线性双波动系统在次临界情况下解的爆破问题：首先，引入若干时变泛函，结合微分不等式方法，得到了该泛函的迭代框架和第一下界；然后，运用迭代技巧和切片方法，证明了该双波动系统柯西问题解的爆破，并推出了其解的生命跨度上界。
- 非线性项 /
- 弱耦合半线性双波动系统 /
- 爆破
Abstract: Blow-up of solutions to a class of weakly coupled semilinear double-wave system with nonlinear terms in the subcritical case is considered. By introducing some time-dependent functional associated with differential inequality methods, an iteration frame and the first lower bound of solutions are obtained. Then, blow-up of solutions to the Cauchy problem is proved via the iteration technique and slicing methods. Meanwhile, the upper bound of the lifespan for solutions is derived.
- nonlinear term /
- weakly coupled semilinear double-wave system /
- blow-up

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参考文献(16)

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