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

Marras, M.;Ragnedda, F.;Vernier-Piro, S.
;Vespri, V.
2023-01-01

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 parabolic-elliptic chemotaxis systems.
2023
Inglese
JOURNAL OF DIFFERENTIAL EQUATIONS
366
42
70
29
WOS:000984526800001
2-s2.0-85152539190
Esperti anonimi
internazionale
scientifica
Chemotaxis systems; Degenerate parabolic equations; Elliptic equations; Hölder regularity
no
Marras, M.; Ragnedda, F.; Vernier-Piro, S.; Vespri, V.
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
4
partially_open
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