Well-posedness of second order degenerate integro-differential equations with infinite delay in vector-valued function spaces

DOI10.1002/MANA.201400112zbMath1338.47121OpenAlexW2152999285MaRDI QIDQ2798101

Gang Cai, Shang Quan Bu

Publication date: 1 April 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400112

zbMATH Keywords

Triebel-Lizorkin spaceswell-posednessBesov spacesLebesgue-Bochner spacesdegenerate differential equation

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Linear differential equations in abstract spaces (34G10)

Related Items (7)

Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay ⋮ Well‐posedness of second order differential equations with memory ⋮ Well-posedness for degenerate third order equations with delay and applications to inverse problems ⋮ Mild solutions to integro-differential equations in Banach spaces ⋮ \(L^p\)-maximal regularity for a class of degenerate integro-differential equations with infinite delay in Banach spaces ⋮ Existence and uniqueness of solutions of the fractional integro-differential equations in vector-valued function space ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Periodic solutions of second order differential equations in Banach spaces
• Well-posedness of degenerate differential equations in Hölder continuous function spaces
• 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
• Fourier multipliers for Hölder continuous functions and maximal regularity
• Fourier Multipliers and Integro‐Differential Equations in Banach Spaces
• Well-posedness of second order degenerate differential equations in vector-valued function spaces
• Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces
• Hölder continuous solutions for Sobolev type differential equations
• SOLUTIONS OF SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS ON PERIODIC BESOV SPACES

This page was built for publication: Well-posedness of second order degenerate integro-differential equations with infinite delay in vector-valued function spaces