Stability for Sobolev and Log-Sobolev inequalities
- Series
- Math Physics Seminar
- Time
- Thursday, February 16, 2023 - 12:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Michael Loss – SoM Georgia Tech – loss@math.gatech.edu
I discuss a sharp quantitative stability result for the Sobolev inequality with explicit constants. Moreover, the constants have the optimal behavior in the limit of large dimensions, which allows us to deduce an optimal quantitative stability estimate for the Gaussian log-Sobolev inequality with an explicit dimension-free constant.