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.
ISBN: | 9781470428020 |
Publication date: | 30th April 2018 |
Author: | Francis Nier |
Publisher: | American Mathematical Society |
Format: | Paperback |
Pagination: | 142 pages |
Series: | Memoirs of the American Mathematical Society |
Genres: |
Differential calculus and equations |