On the uniqueness of mild solutions for the parabolic-elliptic Keller-Segel system in the critical \(L^p \)-space

DOI10.3934/mine.2022048zbMath1496.35010OpenAlexW3214541306MaRDI QIDQ2167634

Lucas C. F. Ferreira

Publication date: 25 August 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mine.2022048

zbMATH Keywords

uniquenessLorentz spacescritical spacesbilinear estimatesKeller-Segel system

Mathematics Subject Classification ID

Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)

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Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces

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