Laplace transforms of polynomially bounded vector-valued functions and semigroups of operators

DOI10.1007/BF02937334zbMath0896.47034MaRDI QIDQ1359993

Sheng Wang Wang, Ralph J. De Laubenfels, Zhen-you Huang, Yu Ping Wang

Publication date: 6 October 1998

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

zbMATH Keywords

abstract Cauchy problemBanach-space-valued functionsHille-Yosida type characterizations of generators of polynomially bounded strongly continuous semigroupsonce-integrated Laplace transforms

Mathematics Subject Classification ID

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

Related Items (5)

Column continuous transition functions ⋮ Strongly continuous integrated cosine operator functions with growth ω ⋮ Maximal subspaces for solutions of the second order abstract cauchy problem ⋮ Properties of subgenerators of 𝐶-regularized semigroups ⋮ Hille-Yosida type theorems for \(O(\omega (t))n\)-times integrated semigroups

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