In this paper we give necessary and sufficient conditions for the existence of a C_0 semigroup in L_1(I) (I real interval) generated by a second-order differential operator when suitable boundary conditions at the endpoints are imposed. AMS Mathematical Classification: 47D05, 34B05 Key words: generators of semigroups, second-order differential operators, boundary conditions

Semigroups generated by ordinary differential operators in L^{1}(I)

ATTALIENTI, Antonio;
2004-01-01

Abstract

In this paper we give necessary and sufficient conditions for the existence of a C_0 semigroup in L_1(I) (I real interval) generated by a second-order differential operator when suitable boundary conditions at the endpoints are imposed. AMS Mathematical Classification: 47D05, 34B05 Key words: generators of semigroups, second-order differential operators, boundary conditions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/79597
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