Is quasi-concavity preserved by heat flow?

Kazuhiro Ishige, Paolo Salani

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

We investigate on the preservation of spatial quasi-concavity of the initial datum by the solutions of the heat equation and we give negative results in dimension N ≥ 2.

Original languageEnglish
Pages (from-to)450-460
Number of pages11
JournalArchiv der Mathematik
Volume90
Issue number5
DOIs
Publication statusPublished - 2008 May
Externally publishedYes

Keywords

  • Convexity
  • Heat equation
  • Level sets
  • Quasi-concavity

ASJC Scopus subject areas

  • Mathematics(all)

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