Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation

Details Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation

2009-11-22

arxiv.org/abs/0911.4279v1

Mathematics

Analysis of PDEs

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418213