Second order abstract differential equations of elliptic type set in ℝ+
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Publication:5403805
DOI10.1515/dema-2013-0486zbMath1309.34115OpenAlexW782122679MaRDI QIDQ5403805
Amine Eltaief, Stéphane Maingot
Publication date: 19 March 2014
Published in: Demonstratio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/dema-2013-0486
boundary conditionsmaximal regularitybounded imaginary powersUMD spacesabstract differential equations of second orderDore-Venni theoremDa Prato-Grisvard sum theory
Boundary value problems for second-order elliptic equations (35J25) One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)
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Cites Work
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- Some remarks on Banach spaces in which martingale difference sequences are unconditional
- Necessary and sufficient conditions for maximal regularity in the study of elliptic differential equations in Hölder spaces
- Semigroups of linear operators and applications to partial differential equations
- On operators with bounded imaginary powers in Banach spaces
- A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
- Parabolicity of second order differential equations in Hilbert space
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- Imaginary powers of elliptic second order differential operators in \(L^ p\)-spaces
- Wellposedness results for certain classes of higher order abstract Cauchy problems connected with integrated semigroups
- On the closedness of the sum of two closed operators
- Unified study of elliptic problem in Hölder spaces.
- \(L^p\)-maximal regularity for second order Cauchy problems
- On the Solvability of Complete Abstract Differential Equations of Elliptic Type
- 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
- Maximal regularity for second order non-autonomous Cauchy problems
- A Simplified Approach in the Study of Elliptic Differential Equations in UMD Spaces and New Applications
