Semiclassical estimates for non selfadjoint operators with double characteristics

Michael Hitrik

Description

Semiclassical estimates for non-selfadjoint operators with double characteristics Michael Hitrik Department of Mathematics, University of California, Los Angeles Joint work with Karel Pravda-Starov M. Hitrik (UCLA) 1 / 24

• boutet de monvel


• canonical symplectic


• imf


• semigroup properties


• selfadjoint operators


• semiclassical estimates


• hamilton map


• recent works


• kramers–fokker–planck operator

Sujets

• Boutet de Monvel

Informations

• Publié par: pefav
• Nombre de lectures: 26
• Langue: English

Extrait

Semiclassical estimates for non-selfadjoint operators with double characteristics

M.Hitrik

Michael Hitrik

Department of Mathematics, University of California, Los Angeles

(UCLA)

Joint work with Karel Pravda-Starov

1/42

Introduction

The study of operators with double characteristics has a long tradition in theanalysisoflinearPDE.BoutetdeMonvel,Grigis,Helffer,Ho¨rmander, Ivrii,Petkov,Sj¨ostrand...(classicalworksonhypoellipticityfromthe 1970’s).

Recent works on Kramers–Fokker–Planck type operators have brought aboutarenewedinterestinthissubject.H´erau–Nier,Helffer–Nier, He´rau–Sjo¨strand–Stolk(2004–2006).

In a recent work with K. Pravda–Starov we have investigated spectral and semigroup properties for a class ofnon-selfadjointquadratic operators that are alsonon-elliptic.

M.Hirtik(UCLA)2/24