书目名称 | Introduction to Nonlinear Dispersive Equations |
编辑 | Gustavo Ponce,Felipe Linares |
视频video | |
概述 | Includes a nice selection of topics.Contains a large selection of non-standard exercises.Accessible presentation of key tools in harmonic and Fourier analysis |
丛书名称 | Universitext |
图书封面 |  |
描述 | .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.. |
出版日期 | Textbook 20091st edition |
关键词 | Fourier transform; Sobolev space; differential operator; fourier analysis; partial differential equation |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-84899-0 |
isbn_ebook | 978-0-387-84899-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer-Verlag New York 2009 |