Strong Solutions to a Kind of Cross Diffusion Parabolic System
Li Chen, Ling Hsiao, Yong Li · Communications in Mathematical Sciences · 2003
A kind of strongly coupled cross diffusion parabolic system, which can be used as the energy transport model in semiconductor science, is studied in this paper.The existence and uniqueness of strong solution to the initial boundary value problem are obtained, under the condition that the initial data are a small perturbation of an isothermal stationary solution.Based on this result, an application of Newton iteration on solving this problem is also given.