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Defocusing Nonlinear Schrödinger Equations on Hardback by Benjamin Dodson
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Defocusing Nonlinear Schrödinger Equations

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Description

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.

Author Biography:

Benjamin Dodson is Associate Professor in the Department of Mathematics at The Johns Hopkins University. His main research interests include partial differential equations and harmonic analysis.
Release date NZ
March 28th, 2019
Audience
  • Tertiary Education (US: College)
Illustrations
Worked examples or Exercises
Pages
254
Dimensions
156x235x18
ISBN-13
9781108472081
Product ID
28505319

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