Asymptotic Behavior of Semilinear Reaction-Diffusion Systems with Dirichlet Boundary Conditions.

摘要

This paper give conditions which imply the existence of a unique, globally attracting steady state solution of a certain class of reaction-diffusion systems with inhomogeneous Dirichlet conditions. In addition, an example is given which shows that when the above conditions are not satisfied, the steady state may bifurcate. (Author)