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

Francis Nier (Autor)

Buch | Softcover

142 Seiten

2018
American Mathematical Society (Verlag)
978-1-4704-2802-0 (ISBN)

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Examines 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.

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.

Francis Nier, Universite de Paris, France.

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

Erscheinungsdatum	07.01.2018
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	235 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4704-2802-4 / 1470428024
ISBN-13	978-1-4704-2802-0 / 9781470428020
Zustand	Neuware