We prove the existence of an exponent p > 2 with the property that the approximate gradient of any local minimizer of the 2-dimensional Mumford-Shah energy belongs locally to L^p .
Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energy / C. De Lellis; M. Focardi. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 1776-3371. - STAMPA. - 100:(2013), pp. 391-409. [10.1016/j.matpur.2013.01.006]
Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energy
FOCARDI, MATTEO
2013
Abstract
We prove the existence of an exponent p > 2 with the property that the approximate gradient of any local minimizer of the 2-dimensional Mumford-Shah energy belongs locally to L^p .
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