期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 272, 期 -, 页码 289-309出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2020.09.031
关键词
Reaction-diffusion approximation; Reaction-diffusion system; Semilinear wave equation
类别
资金
- JSPS KAKENHI [JP19K14588, JP16KT0022, JP20H01816]
This paper introduces a reaction-diffusion system whose solutions approximate those of a semilinear wave equation under certain assumptions of a reaction term, with the proof based on the energy method.
A semilinear wave equation possesses propagation with a finite speed, while a parabolic equation has propagation with infinite speed. This paper proposes a reaction-diffusion system whose solutions approximate those of a semilinear wave equation under some assumptions of a reaction term. The proof is based on the energy method. (C) 2020 Elsevier Inc. All rights reserved.
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