A note on Fisher information hypocoercive decay for the linear Boltzmann equation

被引：0
作者：
Pierre Monmarché
机构：
[1] Sorbonne Université,
[2] LJLL and LCT,undefined
来源：
Analysis and Mathematical Physics | 2021年 / 11卷
关键词：
Hypocoercivity; Linear Boltzmann equation; Fisher information; Randomized HMC; 35K99; 60J25;
D O I：
暂无
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摘要：
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 situation, starting from a smooth initial datum, the Fisher Information (and hence, the relative entropy) with respect to the stationary state converges exponentially fast to zero.
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