PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Toan Nguyen, Fei Wang, Stephanie Zerby, Mark Levi, Victor Nistor, Jinchao Xu, Ludmil Zikatanov, Chun Liu.

Title:Stability results for functional inequalities and applications
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Alessio Figalli, University of Texas at Austin
Abstract Link:http://www.ma.utexas.edu/users/figalli
Abstract:
Geometric and functional inequalities play a crucial role in several problems arising in the calculus of variations, partial differential equations, geometry, etc. More recently, there has been a growing interest in studying the stability for such inequalities. The basic question one wants to address is the following: suppose we are given a functional inequality for which minimizers are known. Can we prove that if a function “almost attains the equality” then it is close (in some suitable sense) to one of the minimizers? The aim of this talk is to describe some ways to attack this kind of problems, and to show some applications. The talk is intended to be accessible to graduate students.

Room Reservation Information

Room Number:MB106
Date:02 / 03 / 2014
Time:02:30pm - 03:30pm