A Remark on the Anisotropic Outer Minkowski content
Numerical Analysis
2013-03-25 v2
Abstract
We study an anisotropic version of the outer Minkowski content of a closed set in Rn. In particular, we show that it exists on the same class of sets for which the classical outer Minkowski content coincides with the Hausdorff measure, and we give its explicit form.
Cite
@article{arxiv.1203.5190,
title = {A Remark on the Anisotropic Outer Minkowski content},
author = {Antonin Chambolle and Stefano Lisini and Luca Lussardi},
journal= {arXiv preprint arXiv:1203.5190},
year = {2013}
}
Comments
We corrected an error in the orignal manuscript, on p. 14 (the boundaries of the regularized sets are not necessarily C^{1,1})