A quantitative stability estimate for the Sobolev Inequality

Series
Analysis Seminar
Time
Wednesday, August 30, 2023 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Michael Loss – GaTech – loss@math.gatech.edu
Organizer
Benjamin Jaye

I’ll present a quantitative version of a stability estimate
for the Sobolev Inequality improving previous results of Bianchi
and Egnell. The estimate has the correct dimensional dependence
which leads to a stability estimate for the Logarithmic Sobolev inequality.
This is joint work with Dolbeault, Esteban, Figalli and Frank.