Journal of East China Normal University(Natural Science) >

2023 , Vol. 2023 >Issue 4: 24 - 34

DOI: https://doi.org/10.3969/j.issn.1000-5641.2023.04.003

Mathematics

Blow-up of solutions to a class of weakly coupled semilinear double-wave systems with nonlinear terms of derivative type

  • Baiping OUYANG
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  • School of Data Science, Guangzhou Huashang College, Guangzhou　511300, China

Received date: 2021-07-27

  Online published: 2023-07-25

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Abstract

In this paper, blow-up of solutions to a class of weakly coupled semilinear double-wave systems with nonlinear terms of derivative type is considered. By choosing suitable functionals and using an iteration technique, the weakly coupled phenomena are studied in-depth for the case when $ p\ne q $ . For the case when $ p=q $ , the solution is degenerated to a single semilinear double-wave equation with a nonlinear term of derivative type. Furthermore, the nonexistence of global solutions to the Cauchy problem in the subcritical case is proven. Meanwhile, the upper bound estimate of the lifespan of solutions is also derived.

Key words： nonlinear term of derivative type; weakly coupled semilinear double-wave system; blow-up; lifespan

Cite this article

Baiping OUYANG . Blow-up of solutions to a class of weakly coupled semilinear double-wave systems with nonlinear terms of derivative type[J]. Journal of East China Normal University(Natural Science), 2023 , 2023(4) : 24 -34 . DOI: 10.3969/j.issn.1000-5641.2023.04.003

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