Asymptotics for the level set equation near a maximum
| Autor: | Strehlke, Nick |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | We give asymptotics for the level set equation for mean curvature flow on a convex domain near the point where it attains a maximum. It is known that solutions are not necessarily $C^3,$ and we recover this result and construct non-smooth solutions which are $C^3.$ We also construct solutions having prescribed behavior near the maximum. We do this by analyzing the asymptotics for rescaled mean curvature flow converging to a stationary sphere. |
| Databáze: | arXiv |
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