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A Unique Continuation Property for the Level Set Equation

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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… Click to show full 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.

Keywords: set equation; unique continuation; level set

Journal Title: International Mathematics Research Notices
Year Published: 2018

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