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Weighted $L^2$ bounds for kinetic Fokker-Planck equations and hypocoercivity
We study the long-time behaviour of solutions to kinetic Fokker-Planck equations with power law confinement potentials and local equilibria with fat tails. Without relying on \emph{a priori} moment bounds or perturbative regimes, we establish global estimates on weighted norms (main result) using tw
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