Higher integrability for the gradient of minimizers for the Mumford-Shah functional.

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Date(s) - 09/04/2013
11 h 00 min - 12 h 00 min

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We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional in any dimension, providing a positive answer to a conjecture of De Giorgi. (Joint work with Alessio Figalli)