Semiclassical analysis for the Kramers-Fokker-Planck equation

Frederic Herau, Johannes Sjostrand, C.C. Stolk

    Research output: Contribution to journalArticleAcademicpeer-review

    35 Citations (Scopus)
    71 Downloads (Pure)

    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.
    Original languageUndefined
    Pages (from-to)689-760
    Number of pages67
    JournalCommunications in partial differential equations
    Volume30
    Issue number5-6
    DOIs
    Publication statusPublished - 2005

    Keywords

    • 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

    Cite this