@article{9fa91ae312284b6b94afed91ab112af9,
title = "Strong space-time convexity and the heat equation",
abstract = "We prove local strong convexity of the space-time level sets of the heat equation on convex rings for zero initial data, strengthening a result of Borell. Our proof introduces a parabolic version of a two-point maximum principle of Rosay-Rudin.",
author = "ALBERT CHAU and BEN WEINKOVE",
note = "Funding Information: Acknowledgement. This research has been supported in part by the Discovery Grants program (NSERC, grant no. 327637-06) and the National Science Foundation (grant no. DMS-1709544). Publisher Copyright: {\textcopyright} 2021 Department of Mathematics, Indiana University. All rights reserved.",
year = "2021",
doi = "10.1512/IUMJ.2021.70.8551",
language = "English (US)",
volume = "70",
journal = "Indiana University Mathematics Journal",
issn = "0022-2518",
publisher = "Indiana University",
number = "4",
}