Interpolation of semigroups and integrated semigroups

DOI10.1007/BF03025746zbMath0782.47035MaRDI QIDQ1188326

Ulf Schlotterbeck, Frank Neubrander, Wolfgang Arendt

Publication date: 13 August 1992

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135168

zbMATH Keywords

\(C_ 0\)-semigroupgenerators of \(k\)-times integrated semigroupsmaximal subspace

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Related Items (22)

The spectral mapping theorem for integrated semigroups ⋮ Asymptotic behaviour of integrated semigroups ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Interpolation linéaire associée à un générateur de semi-groupe intégré ⋮ Representation of complex powers of C-sectorial operators ⋮ On the asymptotics of 𝑛-times integrated semigroups ⋮ Spectral mapping theorem for integrated semigroups ⋮ \(C\)-semigroups and strongly continuous semigroups ⋮ Unnamed Item ⋮ Generation results for \(B\)-bounded semigroups ⋮ Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases ⋮ Well-posedness of differential-operator problems. I: The Cauchy problem in spaces of distributions ⋮ Well-posedness of differential-operator problems. II: The Cauchy problem for complete second-order equations in Banach spaces ⋮ The ``parking problem for segments of different length ⋮ Rates of clustering in the Strassen law for random polygons ⋮ Approximation of convolutions by accompanying laws under the existence of moments of low orders ⋮ Random processes with strong averaging condition ⋮ Asymptotic behavior of trajectories of stationary Banach-valued Gaussian fields. II ⋮ Large deviations of sums of independent random variables from the domain of attraction of a stable law ⋮ A uniformly distributed hitting position for a two-dimensional anisotropic diffusion process: The limit normed curve ⋮ Inverses of generators of integrated fractional resolvent operator functions ⋮ Interpolation properties associated with the second order abstract Cauchy problem

Cites Work

• Unnamed Item
• Integrated semigroups
• Exponentially bounded C-semigroups and integrated semigroups
• Semigroups of linear operators and applications to partial differential equations
• Vector-valued Laplace transforms and Cauchy problems
• Some remarks on C-semigroups and integrated semigroups
• Integrated semigroups and their applications to the abstract Cauchy problem
• The Hille-Yosida space of an arbitrary operator
• Integrated semigroups and their application to complete second order Cauchy problems
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems
• Semigroups of linear operators in a Banach space
• On the abstract Cauchy problem
• Generation theorems of semi-groups of linear operators
• Integrated semigroups, C-semigroups and the abstract Cauchy problem
• Resolvent Positive Operators

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