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.
On a notion of unilateral slope for the Mumford-Shah functional / Dal Maso, G; Toader, R. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 13:(2007), pp. 713-734. [10.1007/s00030-006-4054-4]
On a notion of unilateral slope for the Mumford-Shah functional
Dal Maso, G;
2007-01-01
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.File in questo prodotto:
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