Traces of functions of bounded deformation

This paper is devoted to give a simplified proof of the trace theorem for functions of bounded deformation defined on bounded Lipschitz domains of $\mathbb{R}^n$. As a consequence, the existence of one-sided Lebesgue limits on countably $\mathcal{H}^{n-1}$-rectifiable sets is also established.

Data and Resources

Additional Info

Field Value
Source ISSN: 0022-2518
Author Babadjian, Jean-François
Maintainer CCSD
Last Updated May 5, 2026, 15:12 (UTC)
Created May 5, 2026, 15:12 (UTC)
Identifier hal-00853744
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Jacques-Louis Lions (LJLL) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Babadjian, Jean-François
date 2015-05-05T00:00:00
harvest_object_id 402929d7-a258-4438-bb37-f609640a6b95
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-02T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1308.5497
set_spec type:ART