In this paper we study Mumford-Shah type functionals associated with doubling metric measures or strong $A_{infty}$ weights in the setting of the perimeter theory in the sense of L. Ambrosio and M. Miranda Jr. in metric spaces. We prove an existence theorem in a suitably defined class of special $BV$ functions.
Titolo: | MUMFORD-SHAH-TYPE FUNCTIONALS ASSOCIATED WITH DOUBLING METRIC MEASURES |
Autore/i: | BALDI, ANNALISA; FRANCHI, BRUNO |
Autore/i Unibo: | |
Anno: | 2005 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1017/S0308210500003735 |
Abstract: | In this paper we study Mumford-Shah type functionals associated with doubling metric measures or strong $A_{infty}$ weights in the setting of the perimeter theory in the sense of L. Ambrosio and M. Miranda Jr. in metric spaces. We prove an existence theorem in a suitably defined class of special $BV$ functions. |
Data prodotto definitivo in UGOV: | 2005-10-03 12:50:44 |
Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.