Dispersive Partial Differential Equations: Wellposedness and Applications (London Mathematical Society Student Texts, Series Number 86)

Erdo?an, M. Burak; Tzirakis, Nikolaos

ISBN 10: 1316602931 / ISBN 13: 9781316602935

Published by Cambridge University Press, 2016

About this Item

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Bibliographic Details

• Title: Dispersive Partial Differential Equations: Wellposedness and Applications (London Mathematical Society Student Texts, Series Number 86)
• Publisher: Cambridge University Press
• Publication Date: 2016
• Language: English
• ISBN 10: 1316602931
• ISBN 13: 9781316602935
• Binding: Soft cover
• Condition: good

About this title

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.