Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity

DOI10.3934/dcdsb.2014.19.231zbMath1286.35005arXiv1212.2807OpenAlexW2963528734MaRDI QIDQ2438849

Alexandre Montaru

Publication date: 7 March 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2807

zbMATH Keywords

degenerate diffusionone space dimensionnon-Lipschitz nonlinearityblow-up criterionPatlak-Keller-Segel type

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic systems (35K40) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)

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