Weak Stability for Orbits of C 0-semigroups on Banach Spaces

Tanja Eisner () and Bálint Farkas ()
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Tanja Eisner: Universität Tübingen, Mathematisches Institut
Bálint Farkas: Fachbereich Mathematik Technische Universität Darmstadt

A chapter in Functional Analysis and Evolution Equations, 2007, pp 201-208 from Springer

Abstract: Abstract A result of Huang and van Neerven [12] establishes weak individual stability for orbits of C 0-semigroups under boundedness assumptions on the local resolvent of the generator. We present an elementary proof for this using only the inverse Fourier-transform representation of the orbits of the semigroup in terms of the local resolvent.

Keywords: C 0-semigroups; weak individual stability; local resolvents (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_13

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DOI: 10.1007/978-3-7643-7794-6_13

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