Interpolation properties associated with the second order abstract Cauchy problem

DOI10.1007/BF01832956zbMath0807.47030OpenAlexW2094576756MaRDI QIDQ1323541

Ioana Cioranescu, Hernán R. Henríquez

Publication date: 5 March 1995

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137578

zbMATH Keywords

closed linear operator on a Banach spacecosine function generatorsinterpolation and extrapolation resultswell posed abstract Cauchy problem of second order

Mathematics Subject Classification ID

Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items

Integrated semigroups and related partial differential equations, Representation of complex powers of C-sectorial operators

Cites Work

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• The Hille-Yosida space of an arbitrary operator
• On the second order Cauchy problem associated with a linear operator
• Interpolation of semigroups and integrated semigroups
• Ordinary differential equations in linear topological space. II
• Semigroups of linear operators in a Banach space