On integrated semigroups which are not exponentially bounded

DOI10.3792/pjaa.69.199zbMath0812.47041OpenAlexW2011304719MaRDI QIDQ1320553

Naoki Tanaka, Isao Miyadera, Masashi Okubo

Publication date: 24 April 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.199

zbMATH Keywords

Laplace transformgeneratorsadjoint theoremexponentially bounded \(\alpha\)-times integrated semigroups

Mathematics Subject Classification ID

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

Related Items (5)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Local k-convoluted c-semigroups and complete second order abstract Cauchy problems ⋮ Non-optimal rates of ergodic limits and approximate solutions ⋮ \((a,k)\)-regularized \(C\)-resolvent families: regularity and local properties ⋮ Distribution semigroups and abstract Cauchy problems

Cites Work

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• Integrated semigroups
• Vector-valued Laplace transforms and Cauchy problems
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems
• Local C -Semigroups and Local Integrated Semigroups
• Laplace Transforms and α-Times Integrated Semigroups

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