Defocusing Nonlinear Schrödinger Equations
eBook - PDF

Defocusing Nonlinear Schrödinger Equations

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Defocusing Nonlinear Schrödinger Equations

About this book

This study of Schrödinger equations with power-type nonlinearity provides a great deal of insight into other dispersive partial differential equations and geometric partial differential equations. It presents important proofs, using tools from harmonic analysis, microlocal analysis, functional analysis, and topology. This includes a new proof of Keel–Tao endpoint Strichartz estimates, and a new proof of Bourgain's result for radial, energy-critical NLS. It also provides a detailed presentation of scattering results for energy-critical and mass-critical equations. This book is suitable as the basis for a one-semester course, and serves as a useful introduction to nonlinear Schrödinger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.

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Yes, you can access Defocusing Nonlinear Schrödinger Equations by Benjamin Dodson in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Contents
  8. Preface
  9. Acknowledgments
  10. 1 A First Look at the Mass-Critical Problem
  11. 2 The Cubic NLS in Dimensions Three and Four
  12. 3 The Energy-Critical Problem in Higher Dimensions
  13. 4 Mass-Critical NLS Problem in Higher Dimensions
  14. 5 Low-Dimensional Well-Posedness Results
  15. References
  16. Index