This paper provides a detailed survey on a series of methods and results which are centered around the problem of the constructive approximation of the positive semigroups generated by degenerate second order differential operators by means of iterates of positive linear operators. This problem, first states in [7], has been tackled n the last fifteen years from different angles and in different settings such us spaces of bounded and unbounded continuous functions on real intervals as well as on multidimensional convex compact subsets. For the sake of simplicity the presentation is restricted in the framework of compact intervals. The exposition includes several applications as well ad several references for further possible deepening and developments.

An invitation to the study of evolution equations by means of positive linear operators

LEONESSA, VITA
2009-01-01

Abstract

This paper provides a detailed survey on a series of methods and results which are centered around the problem of the constructive approximation of the positive semigroups generated by degenerate second order differential operators by means of iterates of positive linear operators. This problem, first states in [7], has been tackled n the last fifteen years from different angles and in different settings such us spaces of bounded and unbounded continuous functions on real intervals as well as on multidimensional convex compact subsets. For the sake of simplicity the presentation is restricted in the framework of compact intervals. The exposition includes several applications as well ad several references for further possible deepening and developments.
2009
9788890296574
File in questo prodotto:
File Dimensione Formato  
AltomareLeonessa2009.pdf

non disponibili

Tipologia: Documento in Pre-print
Licenza: DRM non definito
Dimensione 385.05 kB
Formato Adobe PDF
385.05 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/11563/11231
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact