Uniform Boundedness and Decay Estimates for a System of Reaction-Diffusion Equations with a Triangular Diffusion Matrix on ?~n

摘要

This paper concerns with a class of reaction-diffusion systems with triangular diffusion matrix on the unbounded domain ?~n. The system with diagonal diffusion matrix has been studied by J. D. Avrin and F. Rothe in [4]. We prove two new results about uniform boundedness to solutions of such class of reaction-diffusion systems in B∪C(?~n), the space of bounded uniformly continuous functions from ?~n to ?.