Well posedness of an angiogenesis related integrodifferential diffusion model
Analysis of PDEs
2016-12-30 v1
Abstract
We prove existence and uniqueness of nonnegative solutions for a nonlocal in time integrodifferential diffusion system related to angiogenesis descriptions. Fundamental solutions of appropriately chosen parabolic operators with bounded coefficients allow us to generate sequences of approximate solutions. Comparison principles and integral equations provide uniform bounds ensuring some convergence properties for iterative schemes and providing stability bounds. Uniqueness follows from chained integral inequalities.
Keywords
Cite
@article{arxiv.1612.08851,
title = {Well posedness of an angiogenesis related integrodifferential diffusion model},
author = {Ana Carpio and Gema Duro},
journal= {arXiv preprint arXiv:1612.08851},
year = {2016}
}