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arXiv · 1703.10504

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

Pierre Monmarché
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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.

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Pierre Monmarché. 2017-03-30. A note on Fisher Information hypocoercive decay for the linear Boltzmann equation. https://arxiv.org/abs/1703.10504

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