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arXiv · 1903.03208

Strong space-time convexity and the heat equation

Albert Chau·Ben Weinkove
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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.

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Albert Chau, Ben Weinkove. 2019-03-07. Strong space-time convexity and the heat equation. https://arxiv.org/abs/1903.03208

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