On characterization and perturbation of local $C$-semigroups

DOI10.1090/S0002-9939-06-08549-2zbMath1113.47034MaRDI QIDQ3420089

Yuan-Chuan Li, Sen-Yen Shaw

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

generatorperturbation\(C_0\)-grouplocal \(C\)-semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) (C)-semigroups, regularized semigroups (47D60)

Related Items

Integrated semigroups and \(C\)-semigroups and their applications, Iteration regularized semigroups of set-valued functions, Some results on \(n\)-times integrated \(C\)-regularized semigroups, Unnamed Item, Unnamed Item, On two-parameter regularized semigroups and the Cauchy problem, Multiplicative perturbations of local \(C\)-semigroups

Cites Work

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• \(N\)-times integrated \(C\)-semigroups and the abstract Cauchy problem
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• A perturbation theorem of Miyadera type for local \(C\)-regularized semigroups
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• Generation of local \(C\)-semigroups and solvability of the abstract Cauchy problems
• Local C -Semigroups and Local Integrated Semigroups
• The Cauchy Problem and a Generalization of the Hille-Yosida Theorem
• Automatic extensions of local regularized semigroups and local regularized cosine functions
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