Semiclassical analysis for the Kramers-Fokker-Planck equation
Spectral Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We study some accurate semiclassical resolvent estimates for operators that are neither selfadjoint nor elliptic, and applications to the Cauchy problem. In particular we get a precise description of the spectrum near the imaginary axis and precise resolvent estimates inside the pseudo-spectrum. We apply our results to the Kramers-Fokker-Planck operator.
Cite
@article{arxiv.math/0406275,
title = {Semiclassical analysis for the Kramers-Fokker-Planck equation},
author = {Frederic Herau and Johannes Sjoestrand and Christiaan C. Stolk},
journal= {arXiv preprint arXiv:math/0406275},
year = {2007}
}