TY - JOUR
T1 - A Note on a Class of Strongly Coupled Semilinear Reaction-diffusion Equations
AU - Tian , Dagang
JO - Journal of Partial Differential Equations
VL - 2
SP - 108
EP - 114
PY - 1995
DA - 1995/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5644.html
KW - Strongly coupled
KW - semilinear
KW - semigroup
AB -  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.