A Unique Continuation Property for the Level Set Equation
We prove the following unique continuation result: if a solution to the level set equation for mean curvature flow in a mean convex domain agrees to infinite order at the point where it attains its maximum with the solution for a ball, then it agrees everywhere and the domain is a ball.
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| Veröffentlicht in: | International mathematics research notices 2020-07, Vol.2020 (16), p.4843-4851 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove the following unique continuation result: if a solution to the level set equation for mean curvature flow in a mean convex domain agrees to infinite order at the point where it attains its maximum with the solution for a ball, then it agrees everywhere and the domain is a ball. |
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| ISSN: | 1073-7928 1687-0247 |
| DOI: | 10.1093/imrn/rny148 |