Global subelliptic estimates for Kramers-Fokker-Planck operators with some class of polynomials

Abstract

In this article we study some Kramers-Fokker-Planck operators with a polynomial potential $V(q)$ of degree greater than two having quadratic limiting behavior. This work provides an accurate global subelliptic estimate for KFP operators under some conditions imposed on the potential.

Revised paper simplifies the statement of Theorem 1.1