On extensions and restrictions of semigroups of linear operators in a Banach space and their applications

DOI10.1002/mana.201100277zbMath1263.34084OpenAlexW2006161215MaRDI QIDQ4648245

V. I. Gorbachuk, M. L. Gorbachuk

Publication date: 8 November 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100277

zbMATH Keywords

abstract Cauchy problemsolvability\(C_0\)-semigrouplocally analyticentire vector-valued functions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10)

Related Items (4)

Representations of a group of linear operators in a Banach space on the set of entire vectors of its generator ⋮ The representation of a \(C_0\)-semigroup of linear operators in a Banach space on the set of entire vectors of its generator ⋮ Spaces of smooth and generalized vectors of the generator of an analytic semigroup and their applications ⋮ Multipoint (in time) problem for one class of evolutionary pseudodifferential equations

Cites Work

• Analytic vectors
• Semigroups of linear operators and applications to partial differential equations
• Vector-valued Laplace transforms and Cauchy problems
• Boundary values of solutions of operator-differential equations
• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
• On analytic solutions of operator differential equations
• Analytic and Entire Vectors for Representations of Lie Groups
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