Introduction to Nonlinear Dispersiv - E-book

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Introduction To Nonlinear Dispersive Equations - ENG

Felipe Linares; Gustavo Ponce

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Sinopsis

ISBN:	9780387848990
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Equaciones Diferenciales general
Año de publicación:	2009-02-21

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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