Strong space-time convexity and the heat equation
نویسندگان
چکیده
We prove local strong convexity of the space-time level sets heat equation on convex rings for zero initial data, strengthening a result Borell. Our proof introduces parabolic version two-point maximum principle Rosay-Rudin.
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2021
ISSN: ['1943-5258', '0022-2518', '1943-5266']
DOI: https://doi.org/10.1512/iumj.2021.70.8551