Well-posedness of second order degenerate differential equations with infinite delay in Hölder continuous function spaces

DOI10.1216/jie.2021.33.171zbMath1484.34167OpenAlexW3198543874WikidataQ115240103 ScholiaQ115240103MaRDI QIDQ1980423

Yuchen Zhong, Shang Quan Bu

Publication date: 8 September 2021

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie.2021.33.171

zbMATH Keywords

Hölder continuous function spaces\(\dot{C}^\alpha\)-Fourier multiplier\(C\alpha\)-well-posedness

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05)

Cites Work

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• Maximal regularity of second-order equations with delay
• Sur la transformation de Fourier des fonctions à valeurs vectorielles
• On the well-posedness of degenerate fractional differential equations in vector valued function spaces
• Fourier multipliers for Hölder continuous functions and maximal regularity
• Hölder continuous solutions for Sobolev type differential equations
• Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients

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