Overview
The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the linear Schrodinger equation to describe properties enjoyed by general dispersive equations. This information is then used to treat local and global well-posedness for the semi-linear Schrodinger equations. The end of each chapter contains recent developments and open problems, as well as exercises.
Full Product Details
Publisher: Springer New York
Imprint: Springer New York
ISBN: 9781282019348
ISBN 10: 1282019341
Pages: 256
Publication Date: 01 January 2009
Audience:
General/trade
,
General
Format: Electronic book text
Publisher's Status: Active
Availability: Available To Order

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