Well-posedness and unconditional uniqueness of mild solutions to the Keller-Segel system in uniformly local spaces

DOI10.1007/s00028-021-00727-wzbMath1483.35290OpenAlexW3168906959MaRDI QIDQ2064557

Takeshi Suguro

Publication date: 6 January 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-021-00727-w

zbMATH Keywords

well-posednessmild solutionsparabolic-elliptic Keller-Segel systemBessel potentialsuniformly local Lebesgue spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items

Local and global solvability for Keller-Segel system in Besov-Morrey spaces, 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, Well-posedness of mild solutions to the drift-diffusion and the vorticity equations in amalgam spaces

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