Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations

DOI10.3934/dcdss.2020008zbMath1439.35054arXiv1707.04527OpenAlexW2734468687MaRDI QIDQ2178723

Rafael Granero-Belinchón, Jan Burczak

Publication date: 11 May 2020

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

Full work available at URL: https://arxiv.org/abs/1707.04527

zbMATH Keywords

boundednessperiodic boundary conditionslogistic sourceelliptic-parabolic systemKeller-Segel systemfractional dissipationglobal-in-time smoothness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11) Initial-boundary value problems for second-order parabolic systems (35K51)

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