Strong space-time convexity and the heat equation

ALBERT CHAU, BEN WEINKOVE

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
JournalIndiana University Mathematics Journal
Volume70
Issue number4
DOIs
StatePublished - 2021

ASJC Scopus subject areas

  • Mathematics(all)

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