Counterexamples to quasiconcavity for the heat equation
Analysis of PDEs
2021-11-17 v2
Abstract
We construct solutions to the heat equation on convex rings showing that quasiconcavity may not be preserved along the flow, even for smooth and subharmonic initial data.
Cite
@article{arxiv.1802.04770,
title = {Counterexamples to quasiconcavity for the heat equation},
author = {Albert Chau and Ben Weinkove},
journal= {arXiv preprint arXiv:1802.04770},
year = {2021}
}
Comments
12 pages, 1 figure. v2 Final version with minor corrections, to appear in Int. Math. Res. Not