On a Notion of Unilateral Slope for the Mumford-shah Functional
نویسندگان
چکیده
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.
منابع مشابه
On a Notion of Unilateral Slope for the Mumford-shah Functional Gianni Dal Maso and Rodica Toader
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.
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