Generation of local \(C\)-semigroups and solvability of the abstract Cauchy problems

DOI10.11650/TWJM/1500407804zbMath1096.47050OpenAlexW4237679511MaRDI QIDQ2568569

Sen-Yen Shaw, Chung-Cheng Kuo

Publication date: 18 October 2005

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

Full work available at URL: https://doi.org/10.11650/twjm/1500407804

zbMATH Keywords

abstract Cauchy problemHille-Yosida theoremasymptotic C-resolventgeneration propertylocal C-semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) (C)-semigroups, regularized semigroups (47D60)

Related Items (8)

\(C\)-semigroups and almost periodic solutions of evolution equations ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ \(C\)-distribution semigroups and \(C\)-ultradistribution semigroups in locally convex spaces ⋮ Local k-convoluted c-semigroups and complete second order abstract Cauchy problems ⋮ On local \(\alpha \)-times integrated \(C\)-semigroups ⋮ On two-parameter regularized semigroups and the Cauchy problem ⋮ On characterization and perturbation of local $C$-semigroups ⋮ Multiplicative perturbations of local \(C\)-semigroups

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