Seminars & Colloquia Calendar
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.