Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries

• Author(s): Francis Nier,
• Publisher: American Mathematical Soc.
• Pages: 144
• ISBN_10: 1470428024
  ISBN_13: 9781470428020
  
• Language: en
• Categories: Mathematics / Differential Equations / General , Mathematics / Differential Equations / Partial , Mathematics / Geometry / Differential , Mathematics / Mathematical Analysis ,

Description:...

This article is concerned with the maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries. A general class of boundary conditions is introduced which ensures the maximal accretivity and some global subelliptic estimates. Those estimates imply nice spectral properties as well as exponential decay properties for the associated semigroup. Admissible boundary conditions cover a wide range of applications for the usual scalar Kramer-Fokker-Planck equation or Bismut's hypoelliptic laplacian.