具有导数型非线性项的半线性双波动方程解的全局非存在性

欧阳柏平, 林奕武

doi:10.13371/j.cnki.chin.q.j.m.2021.02.004

数学季刊 >

2021 , Vol. 36 >Issue 2: 149 - 159

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.02.004

具有导数型非线性项的半线性双波动方程解的全局非存在性

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1. College of Data Science, Guangzhou Huashang College, Guangzhou 511300, China; 2. Department
of Applied Mathematics, Guangdong University of Finance, Guangzhou 510521, China

OUYANG Bai-ping (1979-), male, native of Chenzhou, Hunan, lecturer of Guangzhou Huashang College, engages in PDEs; LIN Yi-wu (1980-), male, native of Shantou, Guangdong, associate professor of Guangdong University of Finance, engages in PDEs; Corresponding Author: LIN Yi-wu.

收稿日期: 2021-01-16

网络出版日期: 2021-03-09

基金资助

Supported by the Natural Science Foundation of China (Grant No. 61907010); Innovation
Team Project in Colleges and Universities of Guangdong Province (Grant No. 2020WCXTD008); Science
Foundation of Huashang College Guangdong University of Finance & Economics (Grant No. 2020HSDS01).

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Nonexistence of Global Solutions for a Semilinear Double-Wave Equation with Nonlinearity of Derivative Type

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1. College of Data Science, Guangzhou Huashang College, Guangzhou 511300, China; 2. Department
of Applied Mathematics, Guangdong University of Finance, Guangzhou 510521, China

Received date: 2021-01-16

Online published: 2021-03-09

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摘要

In this paper, we study the blow-up of solutions to a semilinear double-wave
equation with nonlinearity of derivative type. By using the iteration method and the
differential inequality techniques, we can get the estimates of the lifespan and the blow-up
of solutions in the subcritical case under some assumptions.

关键词： Semilinear double-wave equation; Blow-up; Nonlinearity of derivative type;
Lifespan estimate

本文引用格式

欧阳柏平, 林奕武 . 具有导数型非线性项的半线性双波动方程解的全局非存在性[J]. 数学季刊, 2021 , 36(2) : 149 -159 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.02.004

Abstract

Key words： Semilinear double-wave equation; Blow-up; Nonlinearity of derivative type;
Lifespan estimate

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