| Hardcover ISBN: | 978-0-8218-4070-2 |
| Product Code: | SURV/126 |
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| AMS Member Price: | $103.20 |
| eBook ISBN: | 978-1-4704-1353-8 |
| Product Code: | SURV/126.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Hardcover ISBN: | 978-0-8218-4070-2 |
| eBook: ISBN: | 978-1-4704-1353-8 |
| Product Code: | SURV/126.B |
| List Price: | $254.00 $191.50 |
| MAA Member Price: | $228.60 $172.35 |
| AMS Member Price: | $203.20 $153.20 |
| Hardcover ISBN: | 978-0-8218-4070-2 |
| Product Code: | SURV/126 |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| eBook ISBN: | 978-1-4704-1353-8 |
| Product Code: | SURV/126.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Hardcover ISBN: | 978-0-8218-4070-2 |
| eBook ISBN: | 978-1-4704-1353-8 |
| Product Code: | SURV/126.B |
| List Price: | $254.00 $191.50 |
| MAA Member Price: | $228.60 $172.35 |
| AMS Member Price: | $203.20 $153.20 |
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Book DetailsMathematical Surveys and MonographsVolume: 126; 2006; 184 ppMSC: Primary 35; 37; 47
This book presents a survey of the relatively new research field of gradient inequalities and their applications. The exposition emphasizes the powerful applications of gradient inequalities in studying asymptotic behavior and stability of gradient-like dynamical systems. It explains in-depth how gradient inequalities are established and how they can be used to prove convergence and stability of solutions to gradient-like systems. This book will serve as an introduction for further studies of gradient inequalities and their applications in other fields, such as geometry and computer sciences.
This book is written for advanced graduate students, researchers and applied mathematicians interested in dynamical systems and mathematical modeling.
ReadershipGraduate students and research mathematicians interested in dynamical systems and PDEs.
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Table of Contents
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Chapters
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1. Introduction and overview of the results
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2. Gradient inequality
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3. Abstract convergence results
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4. Applications to semilinear gradient-like systems in Hilbert spaces
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5. Applications to the stability problem
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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
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This book presents a survey of the relatively new research field of gradient inequalities and their applications. The exposition emphasizes the powerful applications of gradient inequalities in studying asymptotic behavior and stability of gradient-like dynamical systems. It explains in-depth how gradient inequalities are established and how they can be used to prove convergence and stability of solutions to gradient-like systems. This book will serve as an introduction for further studies of gradient inequalities and their applications in other fields, such as geometry and computer sciences.
This book is written for advanced graduate students, researchers and applied mathematicians interested in dynamical systems and mathematical modeling.
Graduate students and research mathematicians interested in dynamical systems and PDEs.
-
Chapters
-
1. Introduction and overview of the results
-
2. Gradient inequality
-
3. Abstract convergence results
-
4. Applications to semilinear gradient-like systems in Hilbert spaces
-
5. Applications to the stability problem
