Accepted Paper
Inserted: 18 sep 2018
Last Updated: 26 jun 2019
Journal: ESAIM: COCV
Year: 2018
Doi: https://doi.org/10.1051/cocv/2019014
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 $\Gamma$, 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.
Download: