Introduction to Nonlinear Dispersive Equations

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Mathematics - Differential Equations
Introduction to Nonlinear Dispersive...

Introduction to Nonlinear Dispersive Equations

Name: Introduction to Nonlinear Dispersive Equations
ISBN: 9780387848983

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.

Kategorie:

Mathematics - Differential Equations

Rok:

2009

Wydanie:

Wydawnictwo:

Springer New York

Język:

english

Strony:

263

ISBN 10: