127 citations · 291 across the 19 of their papers we have counts for
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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…
The Boltzmann equation without angular cutoff in the whole space: III, Qualitative properties of solutions
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai +2
This is a continuation of our series of works for the inhomogeneous Boltzmann equation. We study qualitative properties of classical solutions, precisely, the full regularization i…
Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai +2
It is known that the singularity in the non-cutoff cross-section of the Boltzmann equation leads to the gain of regularity and gain of weight in the velocity variable. By defining…
The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential
Radjesvarane Alexandre, Y. Morimoto, Seiji Ukai +2
As a continuation of our series works on the Boltzmann equation without angular cutoff assumption, in this part, the global existence of solution to the Cauchy problem in the whole…