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arXiv · 2210.00565

H\"older estimates of weak solutions to degenerate chemotaxis systems with a source term

M. Marras·F. Ragnedda·S. Vernier-Piro·V. Vespri
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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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M. Marras, F. Ragnedda, S. Vernier-Piro, V. Vespri. 2022-10-02. H\"older estimates of weak solutions to degenerate chemotaxis systems with a source term. https://arxiv.org/abs/2210.00565

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