Generation theorems for $\varphi $ Hille-Yosida operators

DOI10.1090/S0002-9939-02-06606-6zbMath1029.47025MaRDI QIDQ4539856

Sheng Wang Wang

Publication date: 11 July 2002

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

zbMATH Keywords

generation theoremslocally boundedexponentially bounded\(\varphi\) Hille-Yosida operatorsonce-integrated semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Cites Work

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• Integrated semigroups
• A Hille-Yosida theorem for a class of weakly \({}^*\) continuous semigroups
• Vector-valued Laplace transforms and Cauchy problems
• The adjoint of a semigroup of linear operators
• Abel-ergodic properties of pseudo-resolvents and applications to semigroups
• Existence families, functional calculi and evolution equations
• Quasi-distribution semigroups and integrated semigroups
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems
• Mild integrated C-existence families
• Resolvent Positive Operators

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