A note on the abstract cauchy problem |
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| Authors: | Y. S. Eidelman I. V. Tikhonov |
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| Affiliation: | (1) School of Mathematical Sciences, Tel Aviv University, 66978 Ramat-Aviv, Israel;(2) Department of Pure Mathematics, Moscow Inst. of Engineering Physics, 115409 Moscow, Russia |
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| Abstract: | LetA be the infinitesimal generator of aC 0 semigroup in a Banach spaceE. We obtain necessary conditions for a solution of the Cauchy problem {fx112-1} to be classical for arbitrary ϕ εC([0,T]) andf εE. |
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