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

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dc.creatorMaso, Gianni Dal
dc.creatorToader, Rodica
dc.date2004-10-25
dc.date.accessioned2026-07-07T05:13:40Z
dc.date.available2026-07-07T05:13:40Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0410525
dc.identifierhttp://arxiv.org/abs/math/0410525
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72994
dc.subjectAnalysis of PDEs
dc.subject49J52
dc.titleOn a notion of unilateral slope for the Mumford-Shah functional
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