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Gevrey regularity of solutions to the non-cutoff homogeneous Boltzmann equation for soft potential with strong singularity. (English) Zbl 1330.35285

Summary: In this study, we analyze the Cauchy problem for the non-cutoff homogeneous Boltzmann equation with strong singularity. In contrast to our previous work [“Gevrey regularity for the non-cutoff nonlinear homogeneous Boltzmann equation with strong singularity”, Abstr. Appl. Anal. 2014, Article ID 584169, 9 p. (2014; doi:10.1155/2014/584169)], the present study considers the soft potential case and derives the Gevrey regularity of the \(C^\infty\) solutions.

MSC:

35Q20 Boltzmann equations
35B65 Smoothness and regularity of solutions to PDEs
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