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 Hölder regularity for bounded solutions to parabolic-parabolic as well as for parabolic-elliptic chemotaxis systems.
Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term / Marras M.; Ragnedda F.; Vernier-Piro S.; Vespri V.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 366:(2023), pp. 42-70. [10.1016/j.jde.2023.04.013]
Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term
Vespri V.
2023
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 Hölder regularity for bounded solutions to parabolic-parabolic as well as for parabolic-elliptic chemotaxis systems.
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