Dispersive Partial Differential Equations
Wellposedness and Applications
Seiten
2016
Cambridge University Press (Verlag)
978-1-107-14904-5 (ISBN)
Cambridge University Press (Verlag)
978-1-107-14904-5 (ISBN)
Provides a self-contained and accessible introduction to nonlinear dispersive partial differential equations (PDEs) for graduate or advanced undergraduate students in mathematics, engineering, and physical sciences. The book can be used for self-study, or for teaching a semester-long introductory graduate course in PDEs.
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.
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.
M. Burak Erdoğan is a professor in the Department of Mathematics at the University of Illinois, Urbana-Champaign. Nikolaos Tzirakis is an associate professor in the Department of Mathematics at the University of Illinois, Urbana-Champaign.
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.
| Erscheinungsdatum | 05.05.2016 |
|---|---|
| Reihe/Serie | London Mathematical Society Student Texts |
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 470 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-107-14904-5 / 1107149045 |
| ISBN-13 | 978-1-107-14904-5 / 9781107149045 |
| Zustand | Neuware |
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