127 citations · 324 across the 42 of their papers we have counts for
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Spectral and phase space analysis of the linearized non-cutoff Kac collision operator
Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov +1
The non-cutoff Kac operator is a kinetic model for the non-cutoff radially symmetric Boltzmann operator. For Maxwellian molecules, the linearization of the non-cutoff Kac operator…
Smoothing effect of weak solutions for the spatially homogeneous Boltzmann Equation without angular cutoff
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai +2
In this paper, we consider the spatially homogeneous Boltzmann equation without angular cutoff. We prove that every weak solution to the Cauchy problem with finite moments of…
The Gevrey hypoellipticity for kinetic equations
Hua Chen, Weixi Li, Chao-Jiang Xu
In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltz…