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Sharp Boundary Trace Theory and Schrödinger Operators on Bounded Lipschitz Domains
 
Jussi Behrndt Technische Universität Graz, Graz, Austria
Fritz Gesztesy Baylor University, Waco, Texas
Marius Mitrea Baylor University, Waco, Texas
Softcover ISBN:  978-1-4704-7267-2
Product Code:  MEMO/307/1550
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8091-2
Product Code:  MEMO/307/1550.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7267-2
eBook: ISBN:  978-1-4704-8091-2
Product Code:  MEMO/307/1550.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Sharp Boundary Trace Theory and Schrödinger Operators on Bounded Lipschitz Domains
Jussi Behrndt Technische Universität Graz, Graz, Austria
Fritz Gesztesy Baylor University, Waco, Texas
Marius Mitrea Baylor University, Waco, Texas
Softcover ISBN:  978-1-4704-7267-2
Product Code:  MEMO/307/1550
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8091-2
Product Code:  MEMO/307/1550.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7267-2
eBook ISBN:  978-1-4704-8091-2
Product Code:  MEMO/307/1550.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3072025; 208 pp
    MSC: Primary 35; Secondary 46; 47

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Sobolev and Besov Spaces on Lipschitz Domains
    • 3. A Sharp Dirichlet Trace Involving Sobolev and Besov Spaces
    • 4. Divergence theorems with Sobolev traces
    • 5. A sharp Neumann trace involving Sobolev spaces
    • 6. Schrödinger operators on open sets and bounded Lipschitz domains
    • 7. Weyl–Titchmarsh operators for Schrödinger operators on bounded Lipschitz domains
    • 8. Maximal extensions of the Dirichlet and Neumann trace on bounded Lipschitz domains
    • 9. The Krein–von Neumann extension on bounded Lipschitz domains
    • 10. A description of all self-adjoint extensions and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains
    • 11. The case of variable coefficient operators
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3072025; 208 pp
MSC: Primary 35; Secondary 46; 47

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Sobolev and Besov Spaces on Lipschitz Domains
  • 3. A Sharp Dirichlet Trace Involving Sobolev and Besov Spaces
  • 4. Divergence theorems with Sobolev traces
  • 5. A sharp Neumann trace involving Sobolev spaces
  • 6. Schrödinger operators on open sets and bounded Lipschitz domains
  • 7. Weyl–Titchmarsh operators for Schrödinger operators on bounded Lipschitz domains
  • 8. Maximal extensions of the Dirichlet and Neumann trace on bounded Lipschitz domains
  • 9. The Krein–von Neumann extension on bounded Lipschitz domains
  • 10. A description of all self-adjoint extensions and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains
  • 11. The case of variable coefficient operators
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.