Archiv der Mathematik

, Volume 90, Issue 5, pp 450–460

Is quasi-concavity preserved by heat flow?

Article

DOI: 10.1007/s00013-008-2437-y

Cite this article as:
Ishige, K. & Salani, P. Arch. Math. (2008) 90: 450. doi:10.1007/s00013-008-2437-y

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.

Mathematics Subject Classification (2000).

35K0552A0135B0535B30

Keywords.

Quasi-concavityheat equationlevel setsconvexity

Copyright information

© Birkhaeuser 2008

Authors and Affiliations

  1. 1.Mathematical Institute Tohoku University AobaSendaiJapan
  2. 2.Dipartimento di Matematica ‘U. Dini’ Viale Morgagni 67/AFirenzeItaly