Eventual concavity properties of the heat flow
Analysis of PDEs
2023-10-24 v1
Abstract
The eventual concavity properties are useful to characterize geometric properties of the final state of solutions to parabolic equations. In this paper we give characterizations of the eventual concavity properties of the heat flow for nonnegative, bounded measurable initial functions with compact support.
Cite
@article{arxiv.2310.14475,
title = {Eventual concavity properties of the heat flow},
author = {Kazuhiro Ishige},
journal= {arXiv preprint arXiv:2310.14475},
year = {2023}
}