One dimensional model problem -- Cuspidal semigroups -- Separation of variables -- General boundary conditions for half-space problems -- Geometric Kramers-Fokker-Planck operator -- Geometric KFP-operators on manifolds with boundary -- Variations on a Theorem -- Applications -- Appendix A. Translation invariant model problems -- Appendix B. Partitions of unity
"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."--Page v
"March 2018, volume 252, number 1200 (first of 6 numbers)."
Includes bibliographical references (pages 141-144)