On the generators of exponentially bounded C-semigroups

DOI10.3792/pjaa.62.239zbMath0617.47032OpenAlexW2032791541MaRDI QIDQ1822030

Isao Miyadera

Publication date: 1986

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.62.239

zbMATH Keywords

densely defined closed linear operatorexponentially bounded C-semigroup

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03)

Related Items (19)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Integrated semigroups, C-semigroups and the abstract Cauchy problem ⋮ Some remarks on C-semigroups and integrated semigroups ⋮ Exponentially bounded C-semigroups and generation of semigroups ⋮ On perturbation theory for exponentially bounded C-semigroups ⋮ Entire solutions of the abstract Cauchy problem ⋮ Infinite differentiability of Hermitian and positive \(C\)-semigroups and \(C\)-cosine functions ⋮ Representation formulas for C-semigroups ⋮ Incomplete iterated Cauchy problems ⋮ \(C\)-semigroups and the abstract Cauchy problem ⋮ Regularized semigroups, iterated Cauchy problems and equipartition of energy ⋮ \(C\)-semigroups and strongly continuous semigroups ⋮ Integrated semigroups and their application to complete second order Cauchy problems ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Resolvent estimates for Schrödinger operators in \(L^ p(R^ N)\) and the theory of exponentially bounded \(C\)-semigroups ⋮ Integraded semigroups and integrodifferential equations ⋮ Spectral mapping theorems for exponentially bounded C-semigroups in Banach spaces ⋮ Unnamed Item ⋮ Well-posedness of the Cauchy problem in a Banach space: Regular and degenerate cases

Cites Work

• Unnamed Item
• The Cauchy Problem and a Generalization of the Hille-Yosida Theorem

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