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.
| Original language | English (US) |
|---|---|
| Journal | Indiana University Mathematics Journal |
| Volume | 70 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2021 |
Funding
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).
ASJC Scopus subject areas
- General Mathematics