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

Interactions between Partial Differential Equations & Functional Inequalities

20 October 16:00 - 16:50

Jean Dolbeault - CEREMADE

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.
José A. Carrillo
Imperial College London
Ivan Gentil
Institut Camille Jordan
Helge Holden
NTNU - Norwegian University of Science and Technology
Cédric Villani
Institut Henri Poincaré (IHP)
Boguslaw Zegarlinski
Imperial College London


José A. Carrillo


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