Polynomials of Generators of Integrated Semigroups

DOI10.2307/2048054zbMath0699.47027OpenAlexW4237868944MaRDI QIDQ3477542

Ralph J. De Laubenfels

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048054

zbMATH Keywords

Cauchy problemstrongly continuous group\(C_ 0\)-holomorphic semigroupexponentially bounded holomorphic k-times integrated semigroup

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03)

Related Items (9)

Chaotic solution for the Black-Scholes equation ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Polynomial operator matrices as semigroup generators: The \(2\times 2\) case ⋮ Continuous dependence results for inhomogeneous ill-posed problems in Banach space ⋮ \(C\)-regularized solutions of ill-posed problems defined by strong strip-type operators ⋮ Applications of semigroups of operators to non-elliptic differential operators ⋮ Entire solutions of the abstract Cauchy problem ⋮ Unnamed Item ⋮ Spectral distributions and generalization of Stone's theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Integrated semigroups
• Semigroups of linear operators and applications to partial differential equations
• Vector-valued Laplace transforms and Cauchy problems
• Some remarks on C-semigroups and integrated semigroups
• Integrated semigroups and their applications to the abstract Cauchy problem
• Integrated semigroups, C-semigroups and the abstract Cauchy problem
• Powers of Generators of Holomorphic Semigroups
• Resolvent Positive Operators
• Some Remarks on Infinitesimal Generators of Analytic Semigroups

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