On the connection between the exponential stability of C0-semigroups and the admissibility of a certain Sobolev space |
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| Authors: | Constantin Chilarescu Alin Pogan Ciprian Preda |
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| Affiliation: | Department of Mathematics, West University of Timi!["Image"]("http://www.sciencedirect.com/cache/MiamiImageURL/B6V4X-4CKFN8D-2-1/0?wchp=dGLbVtz-zSkzV" "\"Image\"") oara, Parvan, No. 4, 300 223, Timioara, Romania |
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| Abstract: | Let T be a strongly continuous semigroup on a Banach space X and A its infinitesimal generator. We will prove that T is exponentially stable, if and only if, there exist p[1,∞) such that the space is admissible to the system Σ(A,I,I), defined below (i.e for all f belonging to the Sobolev space the convolution T*f lies in . |
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| Keywords: | C0-semigroup Exponential stability Admissibility |
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