GLOBAL SOLUTION AND ASYMPTOTIC BEHAVIOR OF REACTION DIFFUSION SYSTEM WITH NONLINEARITIES OF SIGN NON CONSTANT
Keywords:
Global Existence, Reaction Diffusion Systems, Lyapunov Functional. Mathematics Classification (2020): 35K57, 35B40 , 35B45.Abstract
The purpose of this current manuscript is to establish global existence and asymptotic behavior in time of solutions for the strongly coupled reaction-diffusion system with diagonal matrix of diffusion coefficients and verifie law of balance and nonlinearities non constant sign. Our techniques of proof are based on Lyapunov functional methods and some Gp estimates .