Department of Mathematics


Title : Gradient and oscillation estimates for parabolic partial differential equations
Speaker: Julie Clutterbuck
Affiliation: ANU
Time: 11:00 am Tuesday, 14 June, 2011
Location: CS 279
Abstract
I will describe a novel method of obtaining oscillation and gradient estimates for a large class of parabolic equations, including not only degenerate quasilinear operators such as the p-Laplacian heat flow and mean curvature flow, but also giving new results for the classical heat equation. These estimates are a key part of the recent proof of the gap conjecture. Julie Clutterbuck is an applicant for the Analysis position in the Department; all interested Academic Staff are encouraged to attend.


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