Nash-Aronson-type upper bounds are established for the fundamental solution of the linear kinetic Fokker-Planck equation with friction, Gaussian for long times reflecting velocity averaging and Kolmogorov-type for short times where friction is negligible.
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Nash-Aronson Estimate for the Linear Kinetic Fokker-Planck equation
Nash-Aronson-type upper bounds are established for the fundamental solution of the linear kinetic Fokker-Planck equation with friction, Gaussian for long times reflecting velocity averaging and Kolmogorov-type for short times where friction is negligible.