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

DOI10.1016/J.EXMATH.2015.07.003zbMath1346.34044OpenAlexW1173117759MaRDI QIDQ281911

Gang Cai, Shang Quan Bu

Publication date: 11 May 2016

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2015.07.003

zbMATH Keywords

boundary value problems\(\dot{C}^\alpha\) Fourier multipliers\(C^\alpha\) well-posednessabstract Hölder spacesdegenerate evolution equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear differential equations in abstract spaces (34G10)

Related Items (7)

On the well-posedness of degenerate fractional differential equations in vector valued function spaces ⋮ Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay ⋮ Well‐posedness for the fourth‐order Moore–Gibson–Thompson equation in the class of Banach‐space‐valued Hölder‐continuous functions ⋮ Hölder continuous solutions of second order degenerate differential equations with finite delay ⋮ Well-posedness of second order degenerate differential equations with infinite delay in Hölder continuous function spaces ⋮ Well-posedness of second order differential equations in Hölder continuous function spaces ⋮ Well-posedness of Third Order Differential Equations in Hölder Continuous Function Spaces

Cites Work

• Well-posedness of degenerate differential equations in Hölder continuous function spaces
• Periodic solutions of degenerate differential equations in vector-valued function spaces
• Fourier multipliers for Hölder continuous functions and maximal regularity
• 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
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