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Geometric Analysis Seminar

Asymptotics for the level set equation near a maximum

Nick Strehlke (MIT)

Location:  Hill 705
Date & time: Tuesday, 13 November 2018 at 3:00PM - 4:00PM

Abstract:  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.

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