Counterexamples to Quasiconcavity for the Heat Equation

Albert Chau; Ben Weinkove

doi:10.1093/imrn/rny243

Counterexamples to Quasiconcavity for the Heat Equation

Albert Chau, Ben Weinkove^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We construct solutions to the heat equation on convex rings showing that quasiconcavity may not be preserved along the flow, even for smooth and subharmonic initial data.

Original language	English (US)
Pages (from-to)	8564-8579
Number of pages	16
Journal	International Mathematics Research Notices
Volume	2020
Issue number	22
DOIs	https://doi.org/10.1093/imrn/rny243
State	Published - Nov 1 2020

ASJC Scopus subject areas

General Mathematics

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abstract = "We construct solutions to the heat equation on convex rings showing that quasiconcavity may not be preserved along the flow, even for smooth and subharmonic initial data.",

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Counterexamples to Quasiconcavity for the Heat Equation

Abstract

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