Elliptic equations in Hilbert space and associated spectral problems

DOI10.1007/BF01097162zbMath0703.34083MaRDI QIDQ915943

A. A. Shkalikov

Publication date: 1990

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

zbMATH Keywords

real spectrumFredholm solvabilityexact solvabilitycompleteness, minimality

Mathematics Subject Classification ID

Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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Cites Work

• On the spectral theory of elliptic differential operators. I
• Self\(adjoint\) quadratic operator pencils and elliptic problems
• Geometric structures of double bundles and their relation to certain problems in integral geometry
• Estimates of meromorphic functions and summability theorems
• Differential equations in a Banach space
• Spectral analysis of selfadjoint matrix polynomials
• Property of the eigenvectors of quadratic operator pencils of being a basis
• On the completeness of a system of elementary solutions of the biharmonic equation in a semi-strip
• Certain tests for the degree of completeness of the root vectors of operator functions analytic in a sector
• Certain properties of the roots of a self-adjoint quadratic pencil
• Wave equation scattering in even-dimensional spaces
• Domains of fractional powers of ordinary differential operators in spaces \(L_p\)
• Caractérisation de quelques espaces d'interpolation
• A phragmén-lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations
• ON THE SPECTRAL THEORY OF STRONGLY ELLIPTIC DIFFERENTIAL OPERATORS
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• Interpolation in $L^{p}$ with boundary conditions
• Properties of solutions of ordinary differential equations in banach space
• On the Eigenfunctions and Eigenvalues of the General Linear Elliptic Differential Operator
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