Structure of shape derivatives around irregular domains and applications

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dc.creatorLamboley, Jimmy
dc.creatorPierre, Michel
dc.date2006-09-19
dc.date.accessioned2026-07-07T07:39:44Z
dc.date.available2026-07-07T07:39:44Z
dc.descriptionIn this paper, we describe the structure of shape derivatives around sets which are only assumed to be of finite perimeter in $\R^N$. This structure allows us to define a useful notion of positivity of the shape derivative and we show it implies its continuity with respect to the uniform norm when the boundary is Lipschitz (this restriction is essentially optimal). We apply this idea to various cases including the perimeter-type functionals for convex and pseudo-convex shapes or the Dirichlet energy of an open set.
dc.identifierhttps://arxiv.org/abs/math/0609526
dc.identifierhttp://arxiv.org/abs/math/0609526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121560
dc.subjectOptimization and Control
dc.subject49J50
dc.titleStructure of shape derivatives around irregular domains and applications
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