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

OUYANG Bai-ping , LIN Yi-wu

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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.

Received date: 2021-01-16

Online published: 2021-03-09

Supported by

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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Abstract

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.

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

Cite this article

OUYANG Bai-ping , LIN Yi-wu . Nonexistence of Global Solutions for a Semilinear Double-Wave Equation with Nonlinearity of Derivative Type[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(2) : 149 -159 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.02.004

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