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Science/Engineering Introduction to Nonlinear Dispersive Equations

Posted on 2010-03-15




Name:Science/Engineering Introduction to Nonlinear Dispersive Equations
ASIN/ISBN:0387848983
Language:English
File size:1.45 Mb
Publish Date: 2009
ISBN: 0387848983
Pages: 266 pages
File Type: PDF
File Size: 1,45 MB
Other Info: Springer
   Science/Engineering Introduction to Nonlinear Dispersive Equations

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Felipe Linares, Gustavo Ponce, “Introduction to Nonlinear Dispersive Equations”

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.

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