PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Leonid Berlyand, Mark Levi, Alexei Novikov.

Title:Necessary and sufficient conditions for strong local minima of integral variational functionals over Lipschitz vector fields with affine boundary conditions on star-shaped domains.
Seminar:Applied Analysis Seminar
Speaker:Yuri Grabovsky, Temple University, Mathematics Department
Abstract:
Shape memory behavior can be explained by the principle of minimum energy, which leads to the question of characterization of local minima of variational functionals. Usually in Calculus of Variations the sufficient conditions for strong local minima are strengthened versions of the necessary conditions. For example, the non-negativity of second variation is a necessary condition, while its strict uniform positivity is sufficient for weak local minima. In the case of affine Dirichlet boundary conditions on a star-shaped domain, there is a set of conditions that is at the same time necessary and sufficient for strong local minima. One of the conditions is a new unusual boundary regularity condition for Lipschitz vector fields.

Room Reservation Information

Room Number:MB106
Date:04 / 17 / 2012
Time:04:00pm - 05:00pm