Jean Dolbeault: When do spectral problems determine optimal constants in nonlinear interpolation inequalities?
Time: Thu 2016-10-20 16.00 - 16.50
Location: Institut Mittag-Leffler, Auravägen 17, Djursholm
Participating: Jean Dolbeault, CEREMADE
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.