Functional inequalities, flows, symmetry and spectral estimates

ABSTRACT:

 

In this talk I will review recent result about how the use of linear and nonlinear flows has been key to prove functional inequalities and qualitative properties for their extremal functions. I will also explain how from these inequalities and their best constants, optimal spectral estimates can be obtained for Schrödinger operators.

This is a topic which is at the crossroads of nonlinear analysis and probability, with implications in differential geometry and potential applications in modelling in physics and biology.

Date: Dec 07, 2018 at 11:00:00 h
Venue: Beauchef 851, Torre Oriente, Depto. DII, 4to Piso, sala 401.
Speaker: Profesora María J. Esteban
Affiliation: CEREMADE Université de Paris-Dauphine, Francia
Coordinator: Prof. Carlos Conca
Abstract:
PDF

Posted on Nov 27, 2018 in CMM Modeling, Seminars