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

DOI10.2989/16073606.2018.1514330zbMath1430.34070OpenAlexW2893686443MaRDI QIDQ5206125

Gang Cai, Shang Quan Bu

Publication date: 18 December 2019

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

Full work available at URL: https://doi.org/10.2989/16073606.2018.1514330

zbMATH Keywords

second order differential equationsHölder continuous function spaces\(\dot{C}^\alpha\)-Fourier multiplier\(C^ \alpha\)-well-posedness

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Multipliers for harmonic analysis in several variables (42B15) Spectrum, resolvent (47A10) Linear differential equations in abstract spaces (34G10)

Cites Work

• Unnamed Item
• Well-posedness of second order degenerate differential equations in Hölder continuous function spaces
• Hölder continuous solutions for integro-differential equations and maximal regularity
• Maximal \(L^{p}\)-regularity for parabolic and elliptic equations on the line
• Well-posedness of degenerate differential equations in Hölder continuous function spaces
• Hölder continuous solutions for fractional differential equations and maximal regularity
• Periodic solutions of integro-differential equations in vector-valued function spaces
• \(L^p\)-maximal regularity for second order Cauchy problems
• Fourier multipliers for Hölder continuous functions and maximal regularity
• Hölder continuous solutions for Sobolev type differential equations
• The \(H^\infty\)-calculus and sums of closed operators

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