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

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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/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

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