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

Memoirs of the American Mathematical Society

By (author) Francis Nier
Format: Paperback / softback
Publisher: American Mathematical Society, Providence, United States
Published: 30th Apr 2018
Dimensions: w 178mm h 254mm d 20mm
Weight: 235g
ISBN-10: 1470428024
ISBN-13: 9781470428020
Barcode No: 9781470428020
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Synopsis
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.

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