On the abstract Cauchy problem for the operator \(\frac{d^ 2}{dt^ 2}- A\)

DOI10.1007/BF01204911zbMath0532.47028OpenAlexW2006508111MaRDI QIDQ788979

Ioana Cioranescu

Publication date: 1984

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01204911

zbMATH Keywords

Cauchy problemdensely defined operatorwell-posedFréchet topologyoperator cosine functiondistribution semi-groupslocally-equicontinuous cosine function

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (4)

On the abstract Cauchy problem in spaces of almost periodic distributions ⋮ Integrated semigroups and their application to complete second order Cauchy problems ⋮ Wellposedness of abstract Cauchy problems for second order differential equations ⋮ Interpolation properties associated with the second order abstract Cauchy problem

Cites Work

• A characterisation of exponential distribution semigroups
• Ordinary differential equations in linear topological spaces. I
• Ordinary differential equations in linear topological space. II
• A representation theorem for distribution semigroups
• Problèmes de Cauchy abstraits et applications à quelques problèmes mixtes
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