Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces

DOI10.1017/S0013091513000606zbMath1295.35286MaRDI QIDQ5397396

Rodrigo Ponce, Carlos Lizama

Publication date: 20 February 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&fileId=S0013091513000606&fulltextType=RA&aid=8992452

zbMATH Keywords

Triebel-Lizorkin spaces\(R\)-boundednessUMD spacesoperator-valued Fourier multipliersBesov vector-valued spacesLebesgue vector-valued spaces

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Abstract integral equations, integral equations in abstract spaces (45N05) Integro-partial differential equations (35R09)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximal time regularity for degenerate evolution integro-differential equations
• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Periodic solutions of abstract differential equations with infinite delay
• On the strong solvability of the Navier-Stokes equations
• Periodic solutions of integro-differential equations in vector-valued function spaces
• Operator-valued Fourier multipliers on periodic Triebel spaces
• Periodic solutions of degenerate differential equations in vector-valued function spaces
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces
• Operator–valued Fourier multiplier theorems on Besov spaces
• Fourier Multipliers and Integro‐Differential Equations in Banach Spaces

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