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

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arxiv 1312.6031 v1 pith:7WH4B5JV submitted 2013-12-20 math.AP

classification math.AP
keywords gevreyequationmaxwellianmoleculesnon-cutoffsolutionsweakbelongs
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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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