Graduate Analysis Seminar: Prekopa-Leindler inquality and the sharp Sobolev inequality
Nov 19, 2021 2:00 pm
347 Altgeld Hall
- Sponsor
- n/a
- Speaker
- Daesung Kim, UIUC
- Contact
- Ryan McConnell
- ryanm12@illinois.edu
- Views
- 14
Prekopa-Leindler inequality is a functional version of Brunn-Minkowski inequality, and has a close relation to many interesting inequalities. We discuss the proof of Prekopa-Leindler inequality using optimal transport technique. As an application, we derive the sharp Sobolev inequality.