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Roger Moser

2010-11-30
14:00:00 - 15:00:00

R204 , Astronomy and Mathematics Building

The inverse mean curvature flow is a flow of hypersurfaces evolving with the velocity reciprocal to the mean curvature. In a level set formulation, it gives rise to a degenerate elliptic equation involving the 1-Laplacian. Using a specific regularization and an exponential transformation, its solutions can be approximated by p-harmonic functions. This fact can be exploited for the construction of weak solutions of the inverse mean curvature flow. It also means that the flow encapsulates information about the asymptotic behaviour of p-harmonic functions as p -> 1.