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A note on Fisher Information hypocoercive decay for the linear Boltzmann equation (1703.10504v4)
Published 30 Mar 2017 in math.AP and math.PR
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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