Bisectorial operator pencils and the problem of bounded solutions

DOI10.3103/S1066369X1203005XzbMath1272.47051MaRDI QIDQ1759250

A. V. Pechkurov

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

resolventGreen functionrepresentation of solutionsabstract operator equationsspectrum of bisectorial operator pencils

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (4)

The Gelfand-Shilov type estimate for Green's function of the bounded solutions problem ⋮ Green's function of the problem of bounded solutions in the case of a block triangular coefficient ⋮ Representations of Green's function of the bounded solutions problem for a differential-algebraic equation ⋮ An example in the theory of bisectorial operators

Cites Work

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• Théorie des distributions à valeurs vectorielles
• Théorie des distributions à valeurs vectorielles. II
• Solutions, bounded on the line axis of Sobolev type linear equations with relatively sectorial operators
• Banach algebras associated with linear operator pencils
• Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators
• Geometric theory of semilinear parabolic equations
• Exponentially dichotomous operators and applications
• On distribution semigroups with a singularity at zero and bounded solutions of differential inclusions
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• Representation theory for Banach algebras, Abelian groups, and semigroups in the spectral analysis of linear operators

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