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On a notion of unilateral slope for the Mumford-Shah functional

TitleOn a notion of unilateral slope for the Mumford-Shah functional
Publication TypeJournal Article
Year of Publication2007
AuthorsDal Maso, G, Toader, R
JournalNoDEA 13 (2007) 713-734
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.

URLhttp://hdl.handle.net/1963/2059
DOI10.1007/s00030-006-4054-4

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