Exploring the maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries, Nier introduces a general class of boundary conditions that ensures the maximal accretivity and some global sub-elliptic estimates. Those estimates imply nice spectral properties,he says, as well as exponential decay properties for the associated semigroup, The admissible boundary conditions cover a wide range of applications for the usual scalar Kramers-Fokker-Planck equation for Bismut's hypo-elliptic Laplacian. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)