Semiclassical analysis for the Kramers-Fokker-Planck equation

Frederic Herau, Johannes Sjostrand, C.C. Stolk

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    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.
    Original languageUndefined
    Pages (from-to)689-760
    Number of pages67
    JournalCommunications in partial differential equations
    Issue number5-6
    Publication statusPublished - 2005


    • EWI-14017
    • FBI-Bargmann transform
    • semiclassical
    • MSC-47D06
    • pseudo-spectrum
    • Weyl Calculus
    • FBI-Bargmann transform Fokker¿Planck Kramers Pseudo-spectrum Semiclassical
    • MSC-35P20
    • MSC-35S10
    • MSC-47A10
    • METIS-226230
    • IR-53449
    • Fokker-Planck
    • Kramers

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