Introduces nonlinear dispersive partial differential equations in a detailed yet elementary way without compromising the depth and richness of the subject. Series: London Mathematical Society Student Texts. Num Pages: 204 pages, 65 exercises. BIC Classification: PBKJ. Category: (UU) Undergraduate. Dimension: 160 x 234 x 16. Weight in Grams: 414. . 2016. 1st Edition. hardcover. . . . .

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Bibliographic Details

Title: Dispersive Partial Differential Equations: Wellposedness and Applications: 86 (London Mathematical Society Student Texts, Series Number 86)
Publisher: Cambridge University Press
Publication Date: 2016
Language: English
ISBN 10: 1107149045
ISBN 13: 9781107149045
Binding: Hardcover
Edition: 1st Edition
Condition: New

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Synopsis

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.

About the Authors

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.

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