Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term (2210.00565v1)

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.