15 nov 2004
when: Mercoledì 17 novembre, ore 17.00 Wednesday, November 17, at 5 pm
where: Dipartimento di Matematica, sala delle riunioni
who: Luigi Ambrosio (SNS)
title: Problemi di evoluzione per funzionali policonvessi Evolution problems for polyconvex functionals
abstract: In a recent paper, Evans, Gangbo, and Savin constructed regular solution for the gradient flow (with respect to the $L^2$ metric) associated to the functional $ \int F(\det \nabla u)$, with $F$ convex. This solution is not obtained by variational schemes (minimizing movements, implicit Euler, etc.), but it is possible to show a certain compatibility. The convergence of variational schemes in more general situations is still an open problem.