Calculus of Variations and Geometric Measure Theory
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Remarks on the variational nature of heat equation and motion by mean curvature

Giovanni Bellettini (Dipartimento di Matematica, Univ. Roma "Tor Vergata" and INFN, Laboratori Nazionali di Frascati)

created by magnani on 13 Mar 2006
modified on 14 Mar 2006

16 mar 2006

Abstract.

Giovanni Bellettini, from Rome University, "Tor Vergata"

at 18:15 of Thursday 16 March, in ``Sala dei Seminari'' of the Mathematics Department

will present

``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.

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