5 citations · 7 across the 4 of their papers we have counts for
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Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules
Yoshinori Morimoto, Chao-Jiang Xu
We consider the Cauchy problem of the nonlinear Landau equation of Maxwellian molecules, under the perturbation frame work to global equilibrium. We show that if $H^r_x(L^2_v), r >…
Non-Cutoff Boltzmann Equation with Polynomial Decay Perturbation
Ricardo Alonso, Yoshinori Morimoto, Weiran Sun +1
The Boltzmann equation without an angular cutoff is considered when the initial data is a small perturbation of a global Maxwellian with an algebraic decay in the velocity variable…
A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation
Yoshinori Morimoto, Karel Pravda-Starov, Chao-Jiang Xu
We consider the non-linear spatially homogeneous Landau equation with Maxwellian molecules in a close-to-equilibrium framework and show that the Cauchy problem for the fluctuation…
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…
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…