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.
2009
File in questo prodotto:
File Dimensione Formato  
Altomare-et-al-2009.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 198.45 kB
Formato Adobe PDF
198.45 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/5069
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? ND
social impact