Anisotropic hypoelliptic estimates for Landau-type operators

Details Anisotropic hypoelliptic estimates for Landau-type operators Anisotropic hypoelliptic estimates for Landau-type operators

2010-03-16

arxiv.org/abs/1003.3265v1

Mathematics

Analysis of PDEs

44 pages

Scientific paper

We establish global hypoelliptic estimates for linear Landau-type operators. Linear Landau-type equations are a class of inhomogeneous kinetic equations with anisotropic diffusion whose study is motivated by the linearization of the Landau equation near the Maxwellian distribution. By introducing a microlocal method by multiplier which can be adapted to various hypoelliptic kinetic equations, we establish for linear Landau-type operators optimal global hypoelliptic estimates with loss of 4/3 derivatives in a Sobolev scale which is exactly related to the anisotropy of the diffusion.

Affiliated with

Also associated with

No associations

Rating

Anisotropic hypoelliptic estimates for Landau-type operators 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 Anisotropic hypoelliptic estimates for Landau-type operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anisotropic hypoelliptic estimates for Landau-type operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-233291