Strongly continuous dual semigroups

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1996 English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 171, pages 41-62 (issn: 0373-3114, eissn: 1618-1891,

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Authors: Amann, Herbert; Escher, Joachim;

doi: 10.1007/bf01759381

Strongly continuous dual semigroups

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Abstract

The authors restrict the adjoint \(A'\) of a generator A of a strongly continuous semigroup on a Banach space \(X\) to certain closed subspaces E of \(F'\) and show, under appropriate conditions, that this restriction is a generator. The main part of the paper consists of applications to elliptic operators with boundary conditions.

Related Organizations

University of Basel
Switzerland
University of Zurich
Switzerland

Keywords

Second-order elliptic equations, One-parameter semigroups and linear evolution equations

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