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arXiv · 1806.00389

A unique continuation property for the level set equation

Nick Strehlke
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Abstract

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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Nick Strehlke. 2018-06-01. A unique continuation property for the level set equation. https://arxiv.org/abs/1806.00389

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