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Defocusing nonlinear Schrodinger equ...

Dodson, Benjamin, (1983-)

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Defocusing nonlinear Schrodinger equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Defocusing nonlinear Schrodinger equations/ Benjamin Dodson.
Author:	Dodson, Benjamin,
Published:	Cambridge :Cambridge University Press, : 2019.,
Description:	xii, 242 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 22 Mar 2019).
[NT 15003449]:	A first look at the mass-critical problem -- The cubic NLS in dimensions three and four -- The energy-critical problem in higher dimensions -- Mass-critical NLS problem in higher dimensions -- Low-dimensional well-posedness results.
Subject:	Gross-Pitaevskii equations. -
Online resource:	https://doi.org/10.1017/9781108590518
ISBN:	9781108590518

Defocusing nonlinear Schrodinger equations
Dodson, Benjamin,1983-

Defocusing nonlinear Schrodinger equations[electronic resource] /Benjamin Dodson. - Cambridge :Cambridge University Press,2019. - xii, 242 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;217. - Cambridge tracts in mathematics ;217..

Title from publisher's bibliographic system (viewed on 22 Mar 2019).

A first look at the mass-critical problem -- The cubic NLS in dimensions three and four -- The energy-critical problem in higher dimensions -- Mass-critical NLS problem in higher dimensions -- Low-dimensional well-posedness results.

This study of Schrodinger 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 Schrodinger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.

ISBN: 9781108590518Subjects--Topical Terms:

2139587
Gross-Pitaevskii equations.

LC Class. No.: QC174.26.W28 / D63 2019

Dewey Class. No.: 530.124

Defocusing nonlinear Schrodinger equations
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100 1 $a Dodson, Benjamin, $d 1983- $3 3470671
245 1 0 $a Defocusing nonlinear Schrodinger equations $h [electronic resource] / $c Benjamin Dodson.
260 $a Cambridge : $b Cambridge University Press, $c 2019.
300 $a xii, 242 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 217
500 $a Title from publisher's bibliographic system (viewed on 22 Mar 2019).
505 0 $a A first look at the mass-critical problem -- The cubic NLS in dimensions three and four -- The energy-critical problem in higher dimensions -- Mass-critical NLS problem in higher dimensions -- Low-dimensional well-posedness results.
520 $a This study of Schrodinger 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 Schrodinger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.
650 0 $a Gross-Pitaevskii equations. $3 2139587
650 0 $a Schrodinger equation. $3 604689
650 0 $a Differential equations, Nonlinear. $3 604084
830 0 $a Cambridge tracts in mathematics ; $v 217. $3 3470672
856 4 0 $u https://doi.org/10.1017/9781108590518