Necessary and sufficient conditions for the solvability and maximal regularity of abstract differential equations of mixed type in Hölder spaces

zbMath1287.34047MaRDI QIDQ379117

Fatima Zohra Mezeghrani

Publication date: 8 November 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1380287430

zbMATH Keywords

boundary value problemBanach spaceHölder spacesecond-order linear differential equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Boundary value problems for functional-differential equations (34K10)

Related Items (2)

New results on abstract elliptic problems with general Robin boundary conditions in Hölder spaces: non commutative cases ⋮ Second order equations in functional spaces: qualitative and discrete well-posedness

Cites Work

• Fractional powers of closed operators and the semigroups generated by them
• \(L^{p}\)-maximal regularity for nonautonomous evolution equations
• Necessary and sufficient conditions for maximal regularity in the study of elliptic differential equations in Hölder spaces
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• On operators with bounded imaginary powers in Banach spaces
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• The functional calculus for sectorial operators
• On a class of interpolation spaces
• On the Solvability and the Maximal Regularity of Complete Abstract Differential Equations of Elliptic Type
• Analytic semigroups and optimal regularity in parabolic problems
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