127 citations · 291 across the 19 of their papers we have counts for
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math.AP2011★ 3 cited
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…
math.AP2011★ 29 cited
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…