Semiclassical analysis for the Kramers-Fokker-Planck equation

Details Semiclassical analysis for the Kramers-Fokker-Planck equation Semiclassical analysis for the Kramers-Fokker-Planck equation

2004-06-14

arxiv.org/abs/math/0406275v1

Mathematics

Spectral Theory

Scientific paper

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.

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