2 papers
math.AP2010
Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff
Nicolas Lerner, Yoshinori Morimoto, Karel Pravda-Starov
In this paper, we establish optimal hypoelliptic estimates for a class of kinetic equations, which are simplified linear models for the spatially inhomogeneous Boltzmann equation w…
math.AP2010
Bounded Solutions of the Boltzmann Equation in the Whole Space
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai +2
We construct bounded classical solutions of the Boltzmann equation in the whole space without specifying any limit behaviors at the spatial infinity and without assuming the smalln…