Bobkov's inequality via optimal control theory
Analysis of PDEs
2017-12-14 v1 Differential Geometry
Optimization and Control
Probability
Abstract
We give the simple proof of Bobkov's inequality using the arguments of dynamical programming principle. As a byproduct of the method we obtain a characterization of optimizers.
Cite
@article{arxiv.1712.04590,
title = {Bobkov's inequality via optimal control theory},
author = {Franck Barthe and Paata Ivanisvili},
journal= {arXiv preprint arXiv:1712.04590},
year = {2017}
}