A general criterion for jump set slicing and applications
Analysis of PDEs
2022-12-21 v1 Metric Geometry
Abstract
In this paper a novel criterion for the slicing of the jump set of a function is provided, which bypasses the codimension-one and the parallelogram law techniques developed in -spaces. The approach builds upon a recent rectifiability result of integralgeometric measures and is further applied to the study of the structure of the jump set of functions with generalized bounded deformation in a Riemannian setting.
Cite
@article{arxiv.2212.09822,
title = {A general criterion for jump set slicing and applications},
author = {Stefano Almi and Emanuele Tasso},
journal= {arXiv preprint arXiv:2212.09822},
year = {2022}
}