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Semiclassical analysis for the Kramers-Fokker-Planck equation

Frederic Herau·Johannes Sjoestrand·Christiaan C. Stolk
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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.

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BibTeXRIS

Frederic Herau, Johannes Sjoestrand, Christiaan C. Stolk. 2004-06-14. Semiclassical analysis for the Kramers-Fokker-Planck equation. https://arxiv.org/abs/math/0406275

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