Global Bounded Solutions for Reaction-diffusionSystems with a Full Matrix of DiffusionCoefficients and a Balance Law

摘要

This paper deals with an initial boundary value problem for the strongly coupledreaction-diffusion systems with a full matrix of diffusion coefficients. The global existence ofsolutions is proved by using the techniques based on invariant regions, Lyapunov functionalmethods, and local Lp prior estimates independent of time.