Normal trace for vector fields of bounded mean oscillation
Functional Analysis
2020-11-25 v1
Abstract
We introduce various spaces of vector fields of bounded mean oscillation () defined in a domain so that normal trace on the boundary is bounded when its divergence is well controlled. The behavior of "normal" component and "tangential" component may be different for our vector fields. As a result zero extension of the normal component stays in although such property may not hold for tangential components.
Keywords
Cite
@article{arxiv.2011.12029,
title = {Normal trace for vector fields of bounded mean oscillation},
author = {Yoshikazu Giga and Zhongyang Gu},
journal= {arXiv preprint arXiv:2011.12029},
year = {2020}
}