Abstract

Of concern are multiplicative perturbations of the Laplacian acting on weighted spaces of continuous functions on R^N. It is proved that such differential operators, defined on their maximal domains, are pre-generators of positive quasicontractive C_0-semigroups of operators that fulfil the Feller property. Accordingly, these semigroups are associated with a suitable probability transition function and hence with a Markov process on R^N. An approximation formula for these semigroups is also stated in terms of iterates of integral operators that generalize the classical Gauss-Weierstrass operators. Some applications of such approximation formula are finally shown concerning both the semigroups and the associated Markov processes.

Autore Pugliese

• Altomare Francesco

Tutti gli autori

• ALTOMARE F.

Titolo volume/Rivista

Non Disponibile

Anno di pubblicazione

2011

ISSN

1424-3199

ISBN

Non Disponibile

Numero di citazioni Wos

3

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

3

Ultimo Aggiornamento Citazioni

Non Disponibile

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile