\(C\)-semigroups and the abstract Cauchy problem

DOI10.1016/0022-247X(92)90013-4zbMath0812.47044MaRDI QIDQ1206910

Naoki Tanaka, Isao Miyadera

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

abstract Cauchy problem\(C\)-semigroupexponentially bounded

Mathematics Subject Classification ID

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

Related Items (15)

\(C\)-semigroups and almost periodic solutions of evolution equations ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Iteration regularized semigroups of set-valued functions ⋮ Local k-convoluted c-semigroups and complete second order abstract Cauchy problems ⋮ On regularized quasi-semigroups and evolution equations ⋮ Infinite differentiability of Hermitian and positive \(C\)-semigroups and \(C\)-cosine functions ⋮ \(B\)-bounded semigroups and applications ⋮ On local \(\alpha \)-times integrated \(C\)-semigroups ⋮ Perturbation of local \(C\)-semigroups ⋮ On two-parameter regularized semigroups and the Cauchy problem ⋮ Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases ⋮ On characterization and perturbation of local $C$-semigroups ⋮ Distribution semigroups and abstract Cauchy problems ⋮ On \(\alpha\)-times integrated C-cosine functions and abstract Cauchy problem. I ⋮ Multiplicative perturbations of local \(C\)-semigroups

Cites Work

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• Exponentially bounded C-semigroups and integrated semigroups
• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• On the exponentially bounded C-semigroups
• Some remarks on C-semigroups and integrated semigroups
• Integrated semigroups and their applications to the abstract Cauchy problem
• Some remarks on the abstract Cauchy problem
• On the generators of exponentially bounded C-semigroups
• Integrated semigroups, C-semigroups and the abstract Cauchy problem
• The Cauchy Problem and a Generalization of the Hille-Yosida Theorem

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