A compactness result in $GSBV^p$ and applications to $\Gamma$-convergence for free discontinuity problems
Analysis of PDEs
2019-04-02 v2
Abstract
We present a compactness result in the space which extends the classical statement due to Ambrosio to problems without a priori bounds on the deformations. As an application, we revisit the -convergence results for free discontinuity functionals established recently by Cagnetti, Dal Maso, Scardia, and Zeppieri. We investigate sequences of boundary value problems and show convergence of minimum values and minimizers.
Keywords
Cite
@article{arxiv.1807.03647,
title = {A compactness result in $GSBV^p$ and applications to $\Gamma$-convergence for free discontinuity problems},
author = {Manuel Friedrich},
journal= {arXiv preprint arXiv:1807.03647},
year = {2019}
}