Contraction of surfaces by harmonic mean curvature flows and nonuniqueness of their self similar solutions

研究成果: Article査読

3 被引用数 (Scopus)

抄録

We consider the evolution equations Ft = -(H-1)αν, where 0 < α < 1, ν is the unit outer normal vector and H-1 is the harmonic mean curvature defined by H-1 = ((κ1-1 + κ2-1)/2)-1. In this paper, we prove the nonuniqueness of their strictly convex self similar solutions for some 0 < α < 1. This result implies that there are non-spherical self similar solutions.

本文言語English
ページ(範囲)109-116
ページ数8
ジャーナルCalculus of Variations and Partial Differential Equations
12
2
DOI
出版ステータスPublished - 2001 3

ASJC Scopus subject areas

  • 分析
  • 応用数学

フィンガープリント

「Contraction of surfaces by harmonic mean curvature flows and nonuniqueness of their self similar solutions」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル