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Wellposedness of Second Order Master Equations for Mean Field Games with Nonsmooth Data
 
Chenchen Mou City University of Hong Kong, Hong Kong, People’s Republic of China
Jianfeng Zhang University of Southern California, Los Angeles, California
Softcover ISBN:  978-1-4704-7039-5
Product Code:  MEMO/302/1515
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: November 20, 2024
eBook ISBN:  978-1-4704-7966-4
Product Code:  MEMO/302/1515.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7039-5
eBook: ISBN:  978-1-4704-7966-4
Product Code:  MEMO/302/1515.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: November 20, 2024
Click above image for expanded view
Wellposedness of Second Order Master Equations for Mean Field Games with Nonsmooth Data
Chenchen Mou City University of Hong Kong, Hong Kong, People’s Republic of China
Jianfeng Zhang University of Southern California, Los Angeles, California
Softcover ISBN:  978-1-4704-7039-5
Product Code:  MEMO/302/1515
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: November 20, 2024
eBook ISBN:  978-1-4704-7966-4
Product Code:  MEMO/302/1515.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7039-5
eBook ISBN:  978-1-4704-7966-4
Product Code:  MEMO/302/1515.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: November 20, 2024
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3022024; 86 pp
    MSC: Primary 49; 35; Secondary 91; 60

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Preliminaries and the main results
    • 3. A smooth mollifier on Wasserstein space
    • 4. Some crucial estimates for the function $V$
    • 5. The good solution of master equations
    • 6. The weak solution of master equations
    • 7. The weak-viscosity solution of master equations
    • 8. Convergence of the Nash system
    • 9. Pointwise representation for Wasserstein derivatives
    • A. Appendix
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3022024; 86 pp
MSC: Primary 49; 35; Secondary 91; 60

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Preliminaries and the main results
  • 3. A smooth mollifier on Wasserstein space
  • 4. Some crucial estimates for the function $V$
  • 5. The good solution of master equations
  • 6. The weak solution of master equations
  • 7. The weak-viscosity solution of master equations
  • 8. Convergence of the Nash system
  • 9. Pointwise representation for Wasserstein derivatives
  • A. Appendix
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.