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

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dc.contributor.areaMathematicsen_US
dc.contributor.authorTasso, Emanuele
dc.date.accessioned2018-09-24T10:42:46Z
dc.date.available2018-09-24T10:42:46Z
dc.date.issued2018-09
dc.description27 pagesen_US
dc.description.abstractIn 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.identifier.urihttps://openscience.sissa.it/handle/1963/35324
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;39/2018/MATE
dc.relation.lastpage27en_US
dc.subjecttrace continuityen_US
dc.subjectboundary conditionsen_US
dc.subjectfree discontinuity problemsen_US
dc.subjectgeneralised bounded deformationen_US
dc.subjectgeneralised bounded variationen_US
dc.subjectjump seten_US
dc.subjectrectifiableen_US
dc.titleOn the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)en_US
dc.title.alternativeOn the continuity of the trace operator in GSBV (omega) and GSBD (omega)en_US
dc.typePreprinten_US
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