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Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy


De Lellis, Camillo; Foccaardi, Matteo (2013). Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy. Manuscripta Mathematica, 42(1-2):215-232.

Abstract

We prove, using direct variational arguments, an explicit energy-treshold criterion for regular points of 2-dimensional Mumford-Shah energy minimizers. From this we infer an explicit constant for the density lower bound of De Giorgi, Carriero and Leaci.

Abstract

We prove, using direct variational arguments, an explicit energy-treshold criterion for regular points of 2-dimensional Mumford-Shah energy minimizers. From this we infer an explicit constant for the density lower bound of De Giorgi, Carriero and Leaci.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2013
Deposited On:29 Nov 2013 11:38
Last Modified:08 Dec 2017 00:06
Publisher:Springer
ISSN:0025-2611
Publisher DOI:https://doi.org/10.1007/s00229-012-0601-y

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