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Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term

Published 2 Oct 2022 in math.AP | (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.

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