Solutions of second-order degenerate integro-differential equations in vector-valued function spaces

DOI10.1007/S11425-012-4491-YzbMath1278.34087OpenAlexW2004820636MaRDI QIDQ1955507

Gang Cai, Shang Quan Bu

Publication date: 11 June 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4491-y

zbMATH Keywords

Triebel-Lizorkin spaceswell-posednessBesov spacesFourier multiplierdegenerate integro-differential equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Degenerate parabolic equations (35K65) Functional-differential equations in abstract spaces (34K30) Periodic solutions to functional-differential equations (34K13) Boundary value problems for functional-differential equations (34K10)

Related Items (3)

Periodic solutions of third-order integro-differential equations in vector-valued functional spaces ⋮ Well‐posedness of second order differential equations with memory ⋮ Maximal regularity for fractional Cauchy equation in Hölder space and its approximation

Cites Work

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• 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
• Periodic solutions for second order integro-differential equations with infinite delay in Banach spaces
• SOLUTIONS OF SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS ON PERIODIC BESOV SPACES
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

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