A characterization of \(L^p\)-maximal regularity for time-fractional systems in \textit{UMD} spaces and applications

DOI10.1016/j.jde.2024.01.021OpenAlexW4391242807WikidataQ129319801 ScholiaQ129319801MaRDI QIDQ6123027

Edgardo Alvarez, Carlos Lizama

Publication date: 4 March 2024

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

Full work available at URL: https://doi.org/10.1016/j.jde.2024.01.021

zbMATH Keywords

\(R\)-boundednessKeller-Segel systemLiouville-Grünwald derivative\textit{UMD} spacemaximal regularity for systemsvector-valued periodic Lebesgue spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Linear differential equations in abstract spaces (34G10) Fractional partial differential equations (35R11)

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