A Note on a Class of Strongly Coupled Semilinear Reaction-diffusion Equations

Authors

  • Dagang Tian Dept. of Math. Phys., Wuhan University of Technology, Wuhan 430070, China

Keywords:

Strongly coupled;semilinear;semigroup

Abstract

A class of strongly coupled semilinear reaction-diffusion equations is discussed. The FitzHugh-Nagumo equation in [1] is only an example. The results that strongly coupled term generates an analytic semigroup extended the results in [4]. The results of the existence and uniqueness of solution and the stability of zero solution improved that in [1]. This paper also discusses the existence of periodic solution.

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Published

1995-08-01

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Issue

Vol. 8 No. 2 (1995)

Section

Articles

How to Cite

A Note on a Class of Strongly Coupled Semilinear Reaction-diffusion Equations. (1995). Journal of Partial Differential Equations, 8(2), 108-114. https://global-sci.com/index.php/jpde/article/view/3787