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. |
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| Seminar: | Applied Analysis Seminar |
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| Speaker: | Yuri Grabovsky, Temple University, Mathematics Department |
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| Abstract: |
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| 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 |
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| Date: | 04 / 17 / 2012 |
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| Time: | 04:00pm - 05:00pm |
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