A note on Fisher Information hypocoercive decay for the linear Boltzmann equation
Analysis of PDEs
2020-10-29 v4 Probability
Abstract
This note deals with the linear Boltzmann equation in the non-compact setting with a confining potential which is close to quadratic. We prove that in this case, starting from a smooth initial datum, the Fisher Information (hence, the relative entropy) with respect to the stationary state converges exponentially fast to zero.
Keywords
Cite
@article{arxiv.1703.10504,
title = {A note on Fisher Information hypocoercive decay for the linear Boltzmann equation},
author = {Pierre Monmarché},
journal= {arXiv preprint arXiv:1703.10504},
year = {2020}
}