Mean value formulas for Ornstein-Uhlenbeck and Hermite temperatures
Analysis of PDEs
2019-07-17 v2
Abstract
We obtain explicit mean value formulas for the solutions of the diffusion equations associated with the Ornstein-Uhlenbeck and Hermite operators. From these, we derive various useful properties, such as maximum principles, uniqueness theorems and Harnack-type inequalities.
Keywords
Cite
@article{arxiv.1902.06102,
title = {Mean value formulas for Ornstein-Uhlenbeck and Hermite temperatures},
author = {Guillermo Flores and Gustavo Garrigós},
journal= {arXiv preprint arXiv:1902.06102},
year = {2019}
}