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

Mona Ben Said (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

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.

Mots clés: Kramers-Fokker-Planck operator; subelliptic estimates; compact resolvent

Domaines: Equations aux dérivées partielles [math.AP]

Mona Ben Said. Global subelliptic estimates for Kramers-Fokker-Planck operators with some class of polynomials. 2019. ⟨hal-01955908v2⟩