15 nov 2004

**Abstract.**

calcvar seminar

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.
*