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Jean Dolbeault: When do spectral problems determine optimal constants in nonlinear interpolation inequalities?

Tid: To 2016-10-20 kl 16.00 - 16.50

Plats: Institut Mittag-Leffler, Auravägen 17, Djursholm

Medverkande: Jean Dolbeault, CEREMADE

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Coffee: 15:30 - 16:00

Abstract:
So far no general answer to this question is known, but there is an increasing number of examples for which optimal constants in interpolation inequalities can be characterized by linear eigenvalue problems. There are also counter-examples. The goal of the lecture is to present some advances in this direction.