非局部退化反应扩散方程组解的存在唯一性

Existence and Uniqueness of Solutions to a Nonlocal Degenerate Reaction-Diffusion System

研究了一个带非局部源退化反应扩散方程组初值非负边值为零的Dirichlet问题。在一定的条件下,采用正则化技巧、Schauder估计和Gronwall′s不等式证明了古典解的局部存在性和唯一性。

In the paper, the authors considered a nonlocal degenerate parabolic system with null Dirichlet conditions and positive initial conditions. Under appropriate hypotheses, local existence and uniqueness of classical solutions for this system were proved by utilizing regularization skill, Schauder estimates and Gronwall＇ s inequation.