Higher integrability for minimizers of the Mumford-Shah functional

Alessio Figalli; Guido De Philippis

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Higher integrability for minimizers of the Mumford-Shah functional

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arxiv 1303.1196 v1 pith:6QREJJIV submitted 2013-03-05 math.AP

Guido De Philippis , Alessio Figalli This is my paper

classification math.AP

keywords functionalhigherintegrabilityminimizersmumford-shahanswerconjectureenergy

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We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi.

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