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math.AP2022
Entropy dissipation estimates for the Boltzmann equation without cut-off
Jamil Chaker, Luis Silvestre
We prove a bound on the entropy dissipation for the Boltzmann collision operator from below by a weighted -Norm. The estimate holds for a wide range of potentials including so…
math.AP2022
Holder estimates for kinetic Fokker-Planck equations up to the boundary
Luis Silvestre
We obtain local Holder continuity estimates up to the boundary for a kinetic Fokker-Planck equation with rough coefficients, with the prescribed influx boundary condition. Our resu…
math.AP2022★ 1 cited
Regularity estimates and open problems in kinetic equations
Luis Silvestre
We survey some new results regarding a priori regularity estimates for the Boltzmann and Landau equations conditional to the boundedness of the associated macroscopic quantities. W…