Gevrey Regularizing Effect for Solutions of the Non-Cutoff Boltzmann Equation in a Particular Case of Soft Potential with Critical Singularity

Teng-Fei Zhang; Zhaoyang Yin

arxiv: 1306.0051 · v3 · pith:6XOOLAHPnew · submitted 2013-06-01 · 🧮 math.AP

Gevrey Regularizing Effect for Solutions of the Non-Cutoff Boltzmann Equation in a Particular Case of Soft Potential with Critical Singularity

Teng-Fei Zhang , Zhaoyang Yin This is my paper

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keywords boltzmanncriticaleffectequationgevreynon-cutoffparticularpotential

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In this paper we show the Gevrey regularizing effect of solutions to the non-cutoff spatially homogeneous and inhomogeneous Boltzmann equation for a particular soft potential with critical singularity s=1/2.

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Gevrey Regularizing Effect for Solutions of the Non-Cutoff Boltzmann Equation in a Particular Case of Soft Potential with Critical Singularity

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