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Łojasiewicz-Simon Gradient Inequalities for Coupled Yang-Mills Energy Functionals
| Softcover ISBN: | 978-1-4704-4302-3 |
| Product Code: | MEMO/267/1302 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-6403-5 |
| Product Code: | MEMO/267/1302.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-4302-3 |
| eBook: ISBN: | 978-1-4704-6403-5 |
| Product Code: | MEMO/267/1302.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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Łojasiewicz-Simon Gradient Inequalities for Coupled Yang-Mills Energy Functionals
| Softcover ISBN: | 978-1-4704-4302-3 |
| Product Code: | MEMO/267/1302 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-6403-5 |
| Product Code: | MEMO/267/1302.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-4302-3 |
| eBook ISBN: | 978-1-4704-6403-5 |
| Product Code: | MEMO/267/1302.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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Book DetailsMemoirs of the American Mathematical SocietyVolume: 267; 2020; 138 ppMSC: Primary 58; 57; Secondary 37; 70; 81
The authors' primary goal in this monograph is to prove Łojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions using Sobolev spaces that impose minimal regularity requirements on pairs of connections and sections.
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Table of Contents
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Chapters
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Preface
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1. Introduction
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2. Existence of Coulomb gauge transformations for connections and pairs
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3. Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions
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4. Łojasiewicz–Simon $W^{-1,2}$ gradient inequalities for coupled Yang–Mills energy functions
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A. Fredholm and index properties of elliptic operators on Sobolev spaces
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B. Equivalence of Sobolev norms defined by Sobolev and smooth connections
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C. Fredholm and index properties of a Hodge Laplacian with Sobolev coefficients
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D. Convergence of gradient flows under the validity of the Łojasiewicz–Simon gradient inequality
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E. Huang’s Łojasiewcz–Simon gradient inequality for analytic functions on Banach spaces
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F. Quantitative implicit and inverse function theorems
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
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Volume: 267; 2020; 138 pp
MSC: Primary 58; 57; Secondary 37; 70; 81
The authors' primary goal in this monograph is to prove Łojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions using Sobolev spaces that impose minimal regularity requirements on pairs of connections and sections.
-
Chapters
-
Preface
-
1. Introduction
-
2. Existence of Coulomb gauge transformations for connections and pairs
-
3. Łojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy functions
-
4. Łojasiewicz–Simon $W^{-1,2}$ gradient inequalities for coupled Yang–Mills energy functions
-
A. Fredholm and index properties of elliptic operators on Sobolev spaces
-
B. Equivalence of Sobolev norms defined by Sobolev and smooth connections
-
C. Fredholm and index properties of a Hodge Laplacian with Sobolev coefficients
-
D. Convergence of gradient flows under the validity of the Łojasiewicz–Simon gradient inequality
-
E. Huang’s Łojasiewcz–Simon gradient inequality for analytic functions on Banach spaces
-
F. Quantitative implicit and inverse function theorems
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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