467 citations · 2.6k across the 59 of their papers we have counts for
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math.AP2018★ 2 cited
De Giorgi-Nash-Moser and H{ö}rmander theories: new interplay
Clément Mouhot
We report on recent results and a new line of research at the crossroad of two major theories in the analysis of partial differential equations. The celebrated De Giorgi-Nash-Moser…
math.AP2018★ 31 cited
Decay estimates for large velocities in the Boltzmann equation without cutoff
Cyril Imbert, Clément Mouhot, Luis Silvestre
We consider solutions to the full (spatially inhomogeneous) Boltzmann equation with periodic spatial conditions , for hard and moderately soft poten…
math.AP2018
The Schauder estimate in kinetic theory with application to a toy nonlinear model
Cyril Imbert, Clément Mouhot
This article is concerned with the Schauder estimate for linear kinetic Fokker-Planck equations with Hölder continuous coefficients. This equation has an hypoelliptic structure. As…