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.
General
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