127 citations · 291 across the 19 of their papers we have counts for
3 papers · 2 filters
Global existence and full regularity of the Boltzmann equation without angular cutoff
Radjesvarane Alexandre, Y. Morimoto, Seiji Ukai +2
We prove the global existence and uniqueness of classical solutions around an equilibrium to the Boltzmann equation without angular cutoff in some Sobolev spaces. In addition, the…
Regularizing effect and local existence for non-cutoff Boltzmann equation
Radjesvarane Alexandre, Y. Morimoto, Seiji Ukai +2
The Boltzmann equation without Grad's angular cutoff assumption is believed to have regularizing effect on the solution because of the non-integrable angular singularity of the cro…
Ultra-analytic effect of Cauchy problem for a class of kinetic equations
Yoshinori Morimoto, Chao-Jiang Xu
The smoothing effect of the Cauchy problem for a class of kinetic equations is studied. We firstly consider the spatially homogeneous non linear Landau equation with Maxwellian mol…