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arXiv · 1409.4968

Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation

Yoshinori Morimoto·Nicolas Lerner·Karel Pravda-Starov·Chao-Jiang Xu
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Abstract

We consider the spatially inhomogeneous non-cutoff Kac's model of the Boltzmann equation. We prove that the Cauchy problem for the fluctuation around the Maxwellian distribution enjoys Gelfand-Shilov regularizing properties with respect to the velocity variable and Gevrey regularizing properties with respect to the position variable.

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Yoshinori Morimoto, Nicolas Lerner, Karel Pravda-Starov, Chao-Jiang Xu. 2014-09-17. Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation. https://arxiv.org/abs/1409.4968

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