H\"older estimates of weak solutions to degenerate chemotaxis systems with a source term
Analysis of PDEs
2022-10-04 v1
Abstract
In this note we consider degenerate chemotaxis systems with porous media type diffusion and a source term satisfying the Hadamard growth condition. We prove the H\"older regularity for bounded solutions to parabolic-parabolic as well as for elliptic-parabolic chemotaxis systems.
Keywords
Cite
@article{arxiv.2210.00565,
title = {H\"older estimates of weak solutions to degenerate chemotaxis systems with a source term},
author = {M. Marras and F. Ragnedda and S. Vernier-Piro and V. Vespri},
journal= {arXiv preprint arXiv:2210.00565},
year = {2022}
}