Defocusing Nonlinear Schrödinger Equations

Defocusing Nonlinear Schrödinger Equations
Author :
Publisher : Cambridge University Press
Total Pages : 256
Release :
ISBN-10 : 9781108681674
ISBN-13 : 1108681670
Rating : 4/5 (74 Downloads)

Book Synopsis Defocusing Nonlinear Schrödinger Equations by : Benjamin Dodson

Download or read book Defocusing Nonlinear Schrödinger Equations written by Benjamin Dodson and published by Cambridge University Press. This book was released on 2019-03-28 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Defocusing Nonlinear Schrödinger Equations Related Books

Defocusing Nonlinear Schrödinger Equations
Language: en
Pages: 256
Authors: Benjamin Dodson
Categories: Mathematics
Type: BOOK - Published: 2019-03-28 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This study of Schrödinger equations with power-type nonlinearity provides a great deal of insight into other dispersive partial differential equations and geom
Defocusing Nonlinear Schrödinger Equations
Language: en
Pages: 255
Authors: Benjamin Dodson
Categories: Mathematics
Type: BOOK - Published: 2019-03-28 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.
The Discrete Nonlinear Schrödinger Equation
Language: en
Pages: 417
Authors: Panayotis G. Kevrekidis
Categories: Science
Type: BOOK - Published: 2009-07-07 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödin
Nonlinear Dispersive Equations
Language: en
Pages: 394
Authors: Terence Tao
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

"Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method
The Defocusing NLS Equation and Its Normal Form
Language: en
Pages: 184
Authors: Benoit Grébert
Categories: Mathematics
Type: BOOK - Published: 2014 - Publisher: Erich Schmidt Verlag GmbH & Co. KG

DOWNLOAD EBOOK

The theme of this monograph is the nonlinear Schrodinger equation. This equation models slowly varying wave envelopes in dispersive media and arises in various