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GLOBAL SUBELLIPTIC ESTIMATES FOR KRAMERS–FOKKER–PLANCK OPERATORS WITH SOME CLASS OF POLYNOMIALS

Part of: Equations of mathematical physics and other areas of application General theory of linear operators Spectral theory and eigenvalue problems Close-to-elliptic equations and systems

Published online by Cambridge University Press:  22 June 2020

Mona Ben Said Open the ORCID record for Mona Ben Said [Opens in a new window]
Mona Ben Said*
Affiliation:
Laboratoire Analyse, Géométrie et Applications, Université Paris 13, 99 Avenue, Jean Baptiste Clément, 93430Villetaneuse, France (bensaid@univ-paris13.fr)
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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 behaviour. This work provides an accurate global subelliptic estimate for Kramers–Fokker–Planck operators under some conditions imposed on the potential.

Keywords

subelliptic estimatescompact resolventKramers–Fokker–Planck operator

MSC classification

Primary: 35Q84: Fokker-Planck equations 35H20: Subelliptic equations 47A10: Spectrum, resolvent
Secondary: 35P05: General topics in linear spectral theory 14P10: Semialgebraic sets and related spaces
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 21 , Issue 2 , March 2022 , pp. 675 - 711
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Copyright
© The Author(s) 2020. Published by Cambridge University Press

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