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math.AP2024
A kinetic Nash inequality and precise boundary behavior of the kinetic Fokker-Planck equation
Christopher Henderson, Giacomo Lucertini, Weinan Wang
In this paper, we prove a kinetic Nash type inequality and adapt it to a new functional inequality for functions in a kinetic Sobolev space with absorbing boundary conditions on th…
math.AP2023
Optimal Schauder estimates for kinetic Kolmogorov equations with time measurable coefficients
Giacomo Lucertini, Stefano Pagliarani, Andrea Pascucci
We prove global Schauder estimates for kinetic Kolmogorov equations with coefficients that are Hölder continuous in the spatial variables but only measurable in time. Compared to o…