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Introduction to Nonlinear Dispersive Equations

  • Authors
  • Gustavo┬áPonce
  • Felipe┬áLinares

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages 1-9
  2. Felipe Linares, Gustavo Ponce
    Pages 1-24
  3. Felipe Linares, Gustavo Ponce
    Pages 1-19
  4. Felipe Linares, Gustavo Ponce
    Pages 1-14
  5. Felipe Linares, Gustavo Ponce
    Pages 1-29
  6. Felipe Linares, Gustavo Ponce
    Pages 1-29
  7. Felipe Linares, Gustavo Ponce
    Pages 1-20
  8. Felipe Linares, Gustavo Ponce
    Pages 1-34
  9. Felipe Linares, Gustavo Ponce
    Pages 1-17
  10. Felipe Linares, Gustavo Ponce
    Pages 1-20
  11. Felipe Linares, Gustavo Ponce
    Pages 1-21
  12. Back Matter
    Pages 1-26

About this book

Introduction

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.

Keywords

Fourier transform Sobolev space differential operator fourier analysis

Bibliographic information

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