Dispersive partial differential equations : wellposedness and applications / M. Burak Erdogan, University of Illinois, Urbana-Champaign, Nikolaos Tzirakis, University of Illinois, Urbana-Champaign.
Material type: TextSeries: London Mathematical Society student texts ; 86.Publisher: Cambridge : Cambridge University Press, 2016Description: 1 online resource (xvi, 186 pages) : digital, PDF file(s)Content type:- text
- computer
- online resource
- 9781316563267 (ebook)
- 515/.353 23
- QA377 .E73 2016
Title from publisher's bibliographic system (viewed on 05 Apr 2016).
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.
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