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Introduction to Nonlinear Dispersive Equations

Introduction to Nonlinear Dispersive Equations

Gustavo Ponce, Felipe Linares
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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.

年:
2009
出版:
1
出版社:
Springer New York
语言:
english
页:
263
ISBN 10:
0387848983
ISBN 13:
9780387848983
系列:
Universitext
文件:
PDF, 1.79 MB
IPFS:
CID , CID Blake2b
english, 2009
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