Mumford–Shah-type functionals associated with doubling metric measures

Author： Baldi Annalisa   Franchi Bruno  

Publisher： Royal Society of Edinburgh

ISSN： 1473-7124

Source： Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol.135, Iss.1, 2005-02, pp. : 1-24

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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.

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