Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
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概要
- 論文の詳細を見る
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.
- 東北大学の論文
著者
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Ishii Hitoshi
Department Of Applied Physics Waseda University
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Ishii Hitoshi
Department Of Mathematics Chuo University
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Souganidis Panagiotis
Department Of Mathematics The University Of Chicago
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Souganidis Panagiotis
Department Of Mathematics University Of Wisconsin - Madison
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