Centro-affine normal flows on curves: Harnack estimates and ancient solutions

  • Mohammad N. Ivaki

    Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstr. 8–10, 1040 Wien, Austria

Abstract

We prove that the only compact, origin-symmetric, strictly convex ancient solutions of the planar p centro-affine normal flows are contracting origin-centered ellipses.

Cite this article

Mohammad N. Ivaki, Centro-affine normal flows on curves: Harnack estimates and ancient solutions. Ann. Inst. H. Poincaré Anal. Non Linéaire 32 (2015), no. 6, pp. 1189–1197

DOI 10.1016/J.ANIHPC.2014.07.001