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Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation
 
Nicolas Burq Université Paris–Saclay, Orsay, France and Institut Universitaire de France, France
Laurent Thomann Université de Lorraine, Nancy, France
Softcover ISBN:  978-1-4704-6979-5
Product Code:  MEMO/296/1480
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7817-9
Product Code:  MEMO/296/1480.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6979-5
eBook: ISBN:  978-1-4704-7817-9
Product Code:  MEMO/296/1480.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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Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation
Nicolas Burq Université Paris–Saclay, Orsay, France and Institut Universitaire de France, France
Laurent Thomann Université de Lorraine, Nancy, France
Softcover ISBN:  978-1-4704-6979-5
Product Code:  MEMO/296/1480
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7817-9
Product Code:  MEMO/296/1480.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6979-5
eBook ISBN:  978-1-4704-7817-9
Product Code:  MEMO/296/1480.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: 2962024; 87 pp
    MSC: Primary 35; 37

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction and results
    • 2. The measures and linear analysis
    • 3. Measures and functional analysis
    • 4. Evolution of the Gaussian measure
    • 5. Nonlinear estimates
    • 6. Functional spaces $Y^{\rho , \epsilon }$ and $X^\rho _{t_0, \tau }$
    • 7. Large deviation bounds
    • 8. The local Cauchy theory
    • 9. Global existence for $p>1$
    • 10. Quasi-invariance of the measures
    • 11. Decay estimates and scattering
    • A. Some technical results
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2962024; 87 pp
MSC: Primary 35; 37

View the abstract.

  • Chapters
  • 1. Introduction and results
  • 2. The measures and linear analysis
  • 3. Measures and functional analysis
  • 4. Evolution of the Gaussian measure
  • 5. Nonlinear estimates
  • 6. Functional spaces $Y^{\rho , \epsilon }$ and $X^\rho _{t_0, \tau }$
  • 7. Large deviation bounds
  • 8. The local Cauchy theory
  • 9. Global existence for $p>1$
  • 10. Quasi-invariance of the measures
  • 11. Decay estimates and scattering
  • A. Some technical results
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.