Abstract differential equations of elliptic type with general Robin boundary conditions in Hölder spaces

DOI10.1080/00036811.2011.635653zbMath1263.34082OpenAlexW2065333436WikidataQ58270937 ScholiaQ58270937MaRDI QIDQ2909375

Ahmed Medeghri, Mustapha Cheggag, Stéphane Maingot, Rabah Labbas, Angelo Favini

Publication date: 30 August 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.635653

zbMATH Keywords

Robin boundary conditionsexistence and uniquenessabstract differential equationsstrict solutionelliptic type

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)

Related Items (2)

Differential Equations of Elliptic Type with Variable Operators and Homogeneous Robin Boundary Value Condition in UMD Spaces ⋮ New results on abstract elliptic problems with general Robin boundary conditions in Hölder spaces: non commutative cases

Cites Work

• An abstract transmission problem in a thin layer, I: Sharp estimates
• Fractional powers of closed operators and the semigroups generated by them
• Semigroups of linear operators and applications to partial differential equations
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Unified study of elliptic problem in Hölder spaces.
• On the Solvability and the Maximal Regularity of Complete Abstract Differential Equations of Elliptic Type
• Complete Abstract Differential Equations of Elliptic Type in UMD Spaces
• A Simplified Approach in the Study of Elliptic Differential Equations in UMD Spaces and New Applications
• H^∞functional calculus for sectorial and bisectorial operators

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