Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor

Hitoshi Ishii, Panagiotis Souganidis

研究成果: Article査読

81 被引用数 (Scopus)

抄録

In this note we study the generalized motion of noncompact hypersurfaces with normal velocity depending on the normal direction and the curvature tensor. This work extends the by-now-classical works of Evans and Spruck (for mean curvature) and Chen, Giga and Goto (for general motions with sublinear curvature dependence), because it allows general dependence on the curvature tensor. It also allows a general treatment of the generalized evolution including noncompact hypersurfaces. A number of results regarding no interior, convexity, etc. are also presented.

本文言語English
ページ(範囲)227-250
ページ数24
ジャーナルTohoku Mathematical Journal
47
2
DOI
出版ステータスPublished - 1995
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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