Line segment energy and applications
Differential Geometry
2015-09-08 v1
Abstract
In this paper, we compute the derivatives of the line segment energy for a symmetric tensor field and apply them to obtain slightly more general log-concavity estimates for positive solutions of heat equations and first eigenfunctions on bounded strictly convex domains.
Cite
@article{arxiv.1509.01641,
title = {Line segment energy and applications},
author = {Yulian Chen and Chengjie Yu},
journal= {arXiv preprint arXiv:1509.01641},
year = {2015}
}
Comments
17 pages