Dispersive partial differential equations : wellposedness and applications
Author(s)
Bibliographic Information
Dispersive partial differential equations : wellposedness and applications
(London Mathematical Society student texts, 86)
Cambridge University Press, 2016
- : hardback
- : pbk
Available at / 25 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardbackERD||6||1200035576845
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
: hardback/ER 292080398628
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Note
Includes bibliographical references (p. 175-183) and index
Description and Table of Contents
Description
The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years. With this book, the authors provide a self-contained and accessible introduction for graduate or advanced undergraduate students in mathematics, engineering, and the physical sciences. Both classical and modern methods used in the field are described in detail, concentrating on the model cases that simplify the presentation without compromising the deep technical aspects of the theory, thus allowing students to learn the material in a short period of time. This book is appropriate both for self-study by students with a background in analysis, and for teaching a semester-long introductory graduate course in nonlinear dispersive PDEs. Copious exercises are included, and applications of the theory are also presented to connect dispersive PDEs with the more general areas of dynamical systems and mathematical physics.
Table of Contents
- Preface
- Notation
- 1. Preliminaries and tools
- 2. Linear dispersive equations
- 3. Methods for establishing wellposedness
- 4. Global dynamics of nonlinear dispersive PDEs
- 5. Applications of smoothing estimates
- References
- Index.
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