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Gevrey regularity for the noncutoff nonlinear homogeneous Boltzmann equation with strong singularity. (English) Zbl 1474.35511

Summary: The Cauchy problem of the nonlinear spatially homogeneous Boltzmann equation without angular cutoff is studied. By using analytic techniques, one proves the Gevrey regularity of the \(C^\infty\) solutions in non-Maxwellian and strong singularity cases.

MSC:

35Q20 Boltzmann equations
35A20 Analyticity in context of PDEs
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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