Is quasi-concavity preserved by heat flow?
type: Item
instance of: scholarly article
title: Is quasi-concavity preserved by heat flow?
zbMATH Open document ID: 1176.35012
author: Kazuhiro Ishige
author: Paolo Salani
published in: Archiv der Mathematik
publication date: 2008-10-16T00:00:00Z
review text: In this very nice paper the authors investigate the question if a quasi-concave initial datum remains quasi-concave at later times, i.e. if its spatial level sets continue to be convex. They give a simple counterexample in 2 dimensions and survey related results.
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 52A01
Mathematics Subject Classification ID: 35B30
zbMATH DE Number: 5351797
zbMATH Keywords: level sets
zbMATH Keywords: convexity
zbMATH Keywords: counterexample
MaRDI profile type: Publication
full work available at URL: s00013-008-2437-y
OpenAlex ID: W2124269456
DOI: 10.1007/S00013-008-2437-Y
description: scientific article; zbMATH DE number 5351797