On the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)

Tasso, Emanuele

dc.contributor.author	Tasso, Emanuele
dc.date.accessioned	2018-09-24T10:42:46Z
dc.date.available	2018-09-24T10:42:46Z
dc.date.issued	2018-09
dc.identifier.uri	http://preprints.sissa.it/xmlui/handle/1963/35324
dc.description	27 pages	en_US
dc.description.abstract	In this paper we present a new result of continuity for the trace operator acting on functions that might jump on a prescribed (n−1)-dimensional set Г, with the only hypothesis of being rectifiable and of finite measure. We also show an application of our result in relation to the variational model of elasticity with cracks, when the associated minimum problems are coupled with Dirichlet and Neumann boundary conditions.	en_US
dc.language.iso	en	en_US
dc.relation.ispartofseries	SISSA;39/2018/MATE
dc.subject	trace continuity	en_US
dc.subject	boundary conditions	en_US
dc.subject	free discontinuity problems	en_US
dc.subject	generalised bounded deformation	en_US
dc.subject	generalised bounded variation	en_US
dc.subject	jump set	en_US
dc.subject	rectifiable	en_US
dc.title	On the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)	en_US
dc.title.alternative	On the continuity of the trace operator in GSBV (omega) and GSBD (omega)	en_US
dc.type	Preprint	en_US
dc.miur.area	1	en_US
dc.contributor.area	Mathematics	en_US
dc.relation.firstpage	1	en_US
dc.relation.lastpage	27	en_US