4.7 Article

A reaction-diffusion approximation of a semilinear wave equation

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

资金

  1. JSPS KAKENHI [JP19K14588, JP16KT0022, JP20H01816]

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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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