On a notion of unilateral slope for the Mumford-Shah functional
Analysis of PDEs
2007-05-23 v1
Abstract
In this paper we introduce a notion of unilateral slope for the Mumford-Shah functional, and provide an explicit formula in the case of smooth cracks. We show that the slope is not lower semicontinuous and study the corresponding relaxed functional.
Keywords
Cite
@article{arxiv.math/0410525,
title = {On a notion of unilateral slope for the Mumford-Shah functional},
author = {Gianni Dal Maso and Rodica Toader},
journal= {arXiv preprint arXiv:math/0410525},
year = {2007}
}