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Nick Strehlke

Publications and source records attributed to Nick Strehlke.

2 recordsLinked to original sources
arXiv2018

Asymptotics for the level set equation near a maximum

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.

math.AP↗
arXiv2018

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.

math.AP↗