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.
BALDI A., FRANCHI B. (2005). MUMFORD-SHAH-TYPE FUNCTIONALS ASSOCIATED WITH DOUBLING METRIC MEASURES. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, 135A, 1-23 [10.1017/S0308210500003735].
MUMFORD-SHAH-TYPE FUNCTIONALS ASSOCIATED WITH DOUBLING METRIC MEASURES
BALDI, ANNALISA;FRANCHI, BRUNO
2005
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.File in questo prodotto:
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