16 mar 2006
Giovanni Bellettini, from Rome University, "Tor Vergata"
at 18:15 of Thursday 16 March, in ``Sala dei Seminari'' of the Mathematics Department
``Remarks on the variational nature of heat equation and motion by mean curvature.''
ABSTRACT: We show that the classical solution of the heat equation can be seen as the minimizer of a suitable functional defined in space-time. Using similar ideas, we introduce a functional $\mathcal F$ on the class of space-time tracks of moving hypersurfaces, and we relate minimizers of $\mathcal F$ to solutions of mean curvature flow.