Well posedness of an angiogenesis related integrodifferential diffusion model

摘要

We prove existence and uniqueness of nonnegative solutions for a nonlocal intime integrodifferential diffusion system related to angiogenesis descriptions.Fundamental solutions of appropriately chosen parabolic operators with boundedcoefficients allow us to generate sequences of approximate solutions.Comparison principles and integral equations provide uniform bounds ensuringsome convergence properties for iterative schemes and providing stabilitybounds. Uniqueness follows from chained integral inequalities.