Archiv der Mathematik

, Volume 90, Issue 5, pp 450–460

Is quasi-concavity preserved by heat flow?


    • Mathematical Institute Tohoku University Aoba
  • Paolo Salani
    • Dipartimento di Matematica ‘U. Dini’ Viale Morgagni 67/A

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


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).

35K05 52A01 35B05 35B30


Quasi-concavity heat equation level sets convexity

Copyright information

© Birkhaeuser 2008