Mumford–Shah-type functionals associated with doubling metric measures
Published online by Cambridge University Press: 12 July 2007
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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