We introduce a new class of weakly continuous semigroups and give a characterization of their infinitesimal generators, generalizing the classical Hille-Yosida Theorem for strongly continuous semigroups. The results are illustrated by the example of transition semigroups corresponding to the solutions of certain stochastic differential equations.

A Hille-Yosida theorem for weakly continuous semigroups / S. CERRAI. - In: SEMIGROUP FORUM. - ISSN 0037-1912. - STAMPA. - 49:(1994), pp. 349-367. [10.1007/BF02573496]

A Hille-Yosida theorem for weakly continuous semigroups

CERRAI, SANDRA
1994

Abstract

We introduce a new class of weakly continuous semigroups and give a characterization of their infinitesimal generators, generalizing the classical Hille-Yosida Theorem for strongly continuous semigroups. The results are illustrated by the example of transition semigroups corresponding to the solutions of certain stochastic differential equations.
1994
49
349
367
S. CERRAI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/308560
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