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 conditionsFile in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.