%0 Journal Article
%T Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation
%A Nadia Lekrine
%A Chao-Jiang Xu
%J Mathematics
%D 2009
%I arXiv
%X In this work, we consider a spatially homogeneous Kac's equation with a non cutoff cross section. We prove that the weak solution of the Cauchy problem is in the Gevrey class for positive time. This is a Gevrey regularizing effect for non smooth initial datum. The proof relies on the Fourier analysis of Kac's operators and on an exponential type mollifier.
%U http://arxiv.org/abs/0911.4279v1