Elliptic Differential-Operator Problems with the Spectral Parameter in Both the Equation and Boundary Conditions and the Corresponding Abstract Parabolic Initial Boundary Value Problems

DOI10.1007/978-3-319-11406-4_20zbMath1391.35247OpenAlexW751274526MaRDI QIDQ4606682

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Publication date: 9 March 2018

Published in: Springer INdAM Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-11406-4_20

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Boundary value problems for second-order elliptic equations (35J25) One-parameter semigroups and linear evolution equations (47D06) General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10)

Related Items (6)

NON-COERCIVE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS WITH QUADRATIC COMPLEX PARAMETER ⋮ Solvability of a boundary value problem for second-order elliptic differential operator equations with a spectral parameter in the equation and in the boundary conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Manypoint boundary value problems for elliptic differential-operator equations with interior singularities ⋮ SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION WITH A COMPLEX PARAMETER

Cites Work

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• Regular boundary value problems for ordinary differential-operator equations of higher order in UMD Banach spaces
• Higher order ordinary differential-operator equations on the whole axis in UMD Banach spaces.
• Abstract elliptic and parabolic systems with applications to problems in cylindrical domains
• Regular boundary value problems for complete second order elliptic differential-operator equations in \(UMD\) Banach spaces
• Elliptic differential-operator problems with a spectral parameter in both the equation and boundary-operator conditions
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
• Irregular boundary value problems for second order elliptic differential-operator equations in UMD Banach spaces

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