275 citations
- Laboratoire de Mathématiques Raphaël SalemFR4 papers
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Showing 2009 · math.APShow all
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math.AP2009★ 2 cited
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…
math.AP2009★ 127 cited
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…