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subelliptic estimates

Journal of the Institute of Mathematics of Jussieu (1)

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GLOBAL SUBELLIPTIC ESTIMATES FOR KRAMERS–FOKKER–PLANCK OPERATORS WITH SOME CLASS OF POLYNOMIALS
Part of
Mona Ben Said
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 21 / Issue 2 / March 2022

Published online by Cambridge University Press:

22 June 2020, pp. 675-711

Print publication:

March 2022
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In this article, we study some Kramers–Fokker–Planck operators with a polynomial potential $V(q)$ of degree greater than two having quadratic limiting behaviour. This work provides an accurate global subelliptic estimate for Kramers–Fokker–Planck operators under some conditions imposed on the potential.