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arXiv · 1312.6031

Gevrey Smoothing Effect for Solutions of the Non-Cutoff Boltzmann Equation in Maxwellian Molecules Case

Teng-Fei Zhang·Zhaoyang Yin
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Abstract

In this paper we study the Gevrey regularity for the weak solutions to the Cauchy problem of the non-cutoff spatially homogeneous Botlzmann equation for the Maxwellian molecules model with the singularity exponent $s\in (0,1)$. We establish that any weak solution belongs to the Gevrey spaces for any positive time.

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Teng-Fei Zhang, Zhaoyang Yin. 2013-12-20. Gevrey Smoothing Effect for Solutions of the Non-Cutoff Boltzmann Equation in Maxwellian Molecules Case. https://arxiv.org/abs/1312.6031

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