We consider an approximation process and the semigroup generated by the differential operator arising from a Voronovskaja-type formula. We give some expressions of the resolvent operator in terms of the approximation process, which are useful to establish some qualitative properties of the semigroup in different meaningful cases.
Approximation formulas for $C_0$-semigroups and their resolvent operators
ALBANESE, Angela Anna;CAMPITI, Michele;MANGINO, Elisabetta Maria
2006-01-01
Abstract
We consider an approximation process and the semigroup generated by the differential operator arising from a Voronovskaja-type formula. We give some expressions of the resolvent operator in terms of the approximation process, which are useful to establish some qualitative properties of the semigroup in different meaningful cases.File in questo prodotto:
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