Maximal regularity and a singular limit problem for the Patlak-Keller-Segel system in the scaling critical space involving \textit{BMO}

DOI10.1007/s42985-021-00134-3zbMath1487.35037OpenAlexW4200559032WikidataQ114216479 ScholiaQ114216479MaRDI QIDQ2063961

Takayoshi Ogawa, Masaki Kurokiba

Publication date: 3 January 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-021-00134-3

zbMATH Keywords

maximal regularityscaling invariant spacessingular limit probleminitial layerPatlak-Keller-Segel systemlimit of infinite relaxation time

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Singular perturbations in context of PDEs (35B25) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Besov spaces and (Q_p)-spaces (30H25) BMO-spaces (30H35)

Related Items (2)

Maximal regularity of the heat evolution equation on spatial local spaces and application to a singular limit problem of the Keller-Segel system ⋮ Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical Besov-Morrey spaces

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