Exponential convergence for the linear homogeneous Boltzmann equation for hard potentials
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摘要
In this paper, we consider the asymptotic behavior of solutions to the linear spatially homogeneous Boltzmann equation for hard potentials without angular cutoff. We obtain an optimal rate of exponential convergence towards equilibrium in a L1-space with a polynomial weight. Our strategy is taking advantage of a spectral gap estimate in the Hilbert space and a quantitative spectral mapping theorem developed by Gualdani et al. (2017).
论文关键词：Boltzmann equation,Hard potentials,Polynomial weight,Spectral gap,Dissipativity,Exponential rate
论文评审过程：Received 27 April 2018, Revised 12 July 2018, Accepted 22 July 2018, Available online 22 August 2018, Version of Record 22 August 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.07.050
