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Defocusing Nonlinear Schrödinger Equations by Benjamin Dodson

Defocusing Nonlinear Schrödinger Equations

by Benjamin Dodson
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Book cover type: Hardcover
  • ISBN13: 9781108472081
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 254
  • Original Price: USD 159.0
  • Language: English
  • Edition: N/A
  • Item Weight: 454 grams
  • BISAC Subject(s): Differential Equations / General

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.

Dodson, Benjamin: - 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.

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