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1808. Sharp functional inequalities on metric measures spaces via optimal transport theory
Contributed abstract in session TA-41: Optimization on Geodesic Metric Spaces II: Nonsmooth case, stream Optimization on Geodesic Metric Spaces: Smooth and Nonsmooth.
Tuesday, 8:30-10:00Room: 97 (building: 306)
Authors (first author is the speaker)
| 1. | Alexandru Kristaly
|
| Babes-Bolyai University |
Abstract
In this talk we present some sharp functional (Sobolev, log-Sobolev) inequalities on metric measure spaces that are curved in the sense of Lott-Sturm-Villani, by using optimal transport theory. As an application, we provide a sharp weighted hypercontractivity estimate for the Hopf-Lax semigroup related to the Hamilton-Jacobi equation.
Keywords
- Non-smooth Optimization
Status: accepted
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