Well‐posedness of second order differential equations with memory

DOI10.1002/mana.202000113zbMath1525.45011OpenAlexW4304136589WikidataQ115405795 ScholiaQ115405795MaRDI QIDQ6093965

Rodrigo Ponce

Publication date: 9 October 2023

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

Full work available at URL: https://doi.org/10.1002/mana.202000113

zbMATH Keywords

integro-differential equationmaximal regularityoperator-valued Fourier multipliersequations with fading memory

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Spectrum, resolvent (47A10) Applications of operator theory to differential and integral equations (47N20) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (1)

Novel interpolation spaces and maximal‐weighted Hölder regularity results for the fractional abstract Cauchy problem

Cites Work

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• Well-posedness of second-order degenerate differential equations with finite delay in vector-valued function spaces
• Hölder continuous solutions for second order integro-differential equations in Banach spaces
• Hölder continuous solutions of second order degenerate differential equations with finite delay
• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Mild well-posedness of vector-valued problems on the real line
• Fourier multipliers and periodic solutions of delay equations in Banach spaces
• Hölder continuous solutions for integro-differential equations and maximal regularity
• Maximal regularity for perturbed integral equations on periodic Lebesgue spaces
• Abstract convolution systems on the line
• Solutions of second-order degenerate integro-differential equations in vector-valued function spaces
• Mild solutions to integro-differential equations in Banach spaces
• Hölder continuous solutions for fractional differential equations and maximal regularity
• Maximal regularity of second-order equations with delay
• Periodic solutions of integro-differential equations in vector-valued function spaces
• A general theory of heat conduction with finite wave speeds
• On the well-posedness of degenerate fractional differential equations in vector valued function spaces
• Well-posedness of second order degenerate integro-differential equations with infinite delay in vector-valued function spaces
• Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications
• Mild solutions of second-order differential equations on the line
• Fourier multipliers for Hölder continuous functions and maximal regularity
• Maximal ‐regularity for fractional differential equations on the line
• Periodic solutions for second order integro-differential equations with infinite delay in Banach spaces
• On heat conduction in materials with memory
• SOLUTIONS OF SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS ON PERIODIC BESOV SPACES

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