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Mumford–Shah-type functionals associated with doubling metric measures

Published online by Cambridge University Press:  12 July 2007

Annalisa Baldi  and
Bruno Franchi
Annalisa Baldi
Affiliation:
Dipartimento di Matematica, Universitá di Bologna, P.za Porta S. Donato 5, 40126 Bologna (baldi@dm.unibo.it)
Bruno Franchi
Affiliation:
Dipartimento di Matematica, Universitá di Bologna, P.za Porta S. Donato 5, 40126 Bologna (franchib@dm.unibo.it)
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Abstract

In this paper we study Mumford–Shah-type functionals associated with doubling metric measures or strong A∞ weights in the setting of the perimeter theory in the sense of Ambrosio and Miranda in metric spaces. We prove an existence theorem in a suitably defined class of special BV functions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 1 , February 2005 , pp. 1 - 23
Copyright
Copyright © Royal Society of Edinburgh 2005

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