Published Paper
Inserted: 20 feb 2012
Last Updated: 6 nov 2013
Journal: J. Math. Pures Appl.
Volume: 100
Pages: 391-409
Year: 2013
Doi: http://dx.doi.org/10.1016/j.matpur.2013.01.006
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 to $L^p_{loc}$.
Keywords: Local minimizer, higher integrability, Mumford-Shah energy, Caccioppoli partition
Download: