Automatic extensions of local regularized semigroups and local regularized cosine functions

DOI10.1090/S0002-9939-99-04859-5zbMath0916.47031OpenAlexW1546370834MaRDI QIDQ4235580

Ming-Chu Gao, Sheng Wang Wang

Publication date: 22 March 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04859-5

zbMATH Keywords

abstract Cauchy problemsautomatic extensionslocal regularized cosine functionslocal regularized semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (11)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Differential and analytical properties of semigroups of operators ⋮ Local k-convoluted c-semigroups and complete second order abstract Cauchy problems ⋮ Unnamed Item ⋮ Sharp extensions for convoluted solutions of abstract Cauchy problems ⋮ On local \(\alpha \)-times integrated \(C\)-semigroups ⋮ Perturbation of local \(C\)-semigroups ⋮ On two-parameter regularized semigroups and the Cauchy problem ⋮ \((a,k)\)-regularized \(C\)-resolvent families: regularity and local properties ⋮ On characterization and perturbation of local $C$-semigroups ⋮ Sharp extensions and algebraic properties for solution families of vector-valued differential equations

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