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Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries
 
Francis Nier :  Université de Paris, Paris, France
Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries
eBook ISBN:  978-1-4704-4369-6
Product Code:  MEMO/252/1200.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
Add to cart
Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries
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Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries
Francis Nier :  Université de Paris, Paris, France
eBook ISBN:  978-1-4704-4369-6
Product Code:  MEMO/252/1200.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 252; 2018; 144 pp
    MSC: Primary 32; 35; 47; 58; 60

    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.
  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. One dimensional model problem
    • 3. Cuspidal semigroups
    • 4. Separation of variables
    • 5. General boundary conditions for half-space problems
    • 6. Geometric Kramers-Fokker-Planck operator
    • 7. Geometric KFP-operators on manifolds with boundary
    • 8. Variations on a Theorem
    • 9. Applications
    • A. Translation invariant model problems
    • B. Partitions of unity
    • Acknowledgements
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 252; 2018; 144 pp
MSC: Primary 32; 35; 47; 58; 60

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.
  • Chapters
  • 1. Introduction
  • 2. One dimensional model problem
  • 3. Cuspidal semigroups
  • 4. Separation of variables
  • 5. General boundary conditions for half-space problems
  • 6. Geometric Kramers-Fokker-Planck operator
  • 7. Geometric KFP-operators on manifolds with boundary
  • 8. Variations on a Theorem
  • 9. Applications
  • A. Translation invariant model problems
  • B. Partitions of unity
  • Acknowledgements
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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