Counterexamples to Quasiconcavity for the Heat Equation

Albert Chau, Ben Weinkove*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 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 languageEnglish (US)
Pages (from-to)8564-8579
Number of pages16
JournalInternational Mathematics Research Notices
Volume2020
Issue number22
DOIs
StatePublished - Nov 1 2020

ASJC Scopus subject areas

  • Mathematics(all)

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