We investigate several general conditions in order to determine some cores for gen- erators of strongly continuous positive semigroups of the form Au := αu′′ on weighted spaces of continuous functions on an arbitrary noncompact real interval. As an application we consider a degenerate differential operator of the above mentioned form on the interval [0, +∞[ and we estab- lish an approximation formula for the corresponding positive semigroup in terms of iterates of an integral modification of Sza ́sz-Mirakjan operators.
Cores for second-order differentiali operators on real intervals
LEONESSA, VITA;
2009-01-01
Abstract
We investigate several general conditions in order to determine some cores for gen- erators of strongly continuous positive semigroups of the form Au := αu′′ on weighted spaces of continuous functions on an arbitrary noncompact real interval. As an application we consider a degenerate differential operator of the above mentioned form on the interval [0, +∞[ and we estab- lish an approximation formula for the corresponding positive semigroup in terms of iterates of an integral modification of Sza ́sz-Mirakjan operators.File in questo prodotto:
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