To logconcavity and beyond
Analysis of PDEs
2019-04-03 v4 Functional Analysis
Abstract
In 1976 Brascamp and Lieb proved that the heat flow preserves logconcavity. In this paper, introducing a variation of concavity, we show that it preserves in fact a stronger property than logconcavity and we identify the strongest concavity preserved by the heat flow.
Cite
@article{arxiv.1809.05648,
title = {To logconcavity and beyond},
author = {Kazuhiro Ishige and Paolo Salani and Asuka Takatsu},
journal= {arXiv preprint arXiv:1809.05648},
year = {2019}
}
Comments
We removed one result, Theorem 3.2 of the old version, due to a gap in the proof