Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries (Memoirs of the American Mathematical Society)

Nier, Francis

American Mathematical Society（2018/04発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 142 p.
言語 ENG
商品コード 9781470428020
DDC分類 510

Full 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.

Introduction
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
Acknowledgements
Bibliography