On the generation of C0-semigroups in L1(I)

نویسنده

  • Antonio Attalienti
چکیده

In this paper we characterize completely the existence of a C0-semigroup in L 1 (I) (I real interval) generated by a second-order diierential operator when suitable boundary conditions at the endpoints are imposed. In spaces of continuous functions similar characterizations have been obtained by Timmermans 6] on the maximal domain, by Cl ement and Timmermans 2] in the case of Ventcel's boundary conditions and by Campiti, Metafune and Pallara 1] in the case of Neumann's boundary conditions.

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تاریخ انتشار 2007