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Defocusing nonlinear Schrodinger equ...

Dodson, Benjamin, (1983-)

Defocusing nonlinear Schrodinger equations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Defocusing nonlinear Schrodinger equations /Benjamin Dodson, The Johns Hopkins University.
作者:	Dodson, Benjamin,
面頁冊數:	xii, 242 pages ;24 cm.
標題:	Gross-Pitaevskii equations.
ISBN:	1108472087

Defocusing nonlinear Schrodinger equations /
Dodson, Benjamin,1983-

Defocusing nonlinear Schrodinger equations /Benjamin Dodson, The Johns Hopkins University. - xii, 242 pages ;24 cm. - Cambridge tracts in mathematics ;217.. - Cambridge tracts in mathematics ;96..

Includes bibliographical references (pages 236-240) and index.

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 Schr诤inger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.

ISBN: 1108472087

LCCN: 2018047994Subjects--Topical Terms:

715984
Gross-Pitaevskii equations.

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

Dewey Class. No.: 530.12/4

Defocusing nonlinear Schrodinger equations /
LDR:02049nam a2200301 a 4500 001 570459
003 OCoLC
005 20190718230323.0
008 200824t20192019enk b 001 0 eng
010 $a 2018047994
020 $a 1108472087
020 $a 9781108472081 $c GBP$95.00
035 $a (OCoLC)1074292311
035 $a 1074292311
040 $a DLC $b eng $e rda $c DLC $d OCLCF $d UKMGB $d YDX $d BNG $d ORE $d MTG $d AS $d MATH
042 $a pcc
050 0 0 $a QC174.26.W28 $b D63 2019
082 0 0 $a 530.12/4 $2 23
100 1 $a Dodson, Benjamin, $d 1983- $e author. $3 857079
245 1 0 $a Defocusing nonlinear Schrodinger equations / $c Benjamin Dodson, The Johns Hopkins University.
264 1 $a Cambridge, United Kingdom ; $a New York, NY : $b Cambridge University Press, $c 2019.
264 4 $c 2019.
300 $a xii, 242 pages ; $c 24 cm.
336 $a text $b txt $2 rdacontent.
337 $a unmediated $b n $2 rdamedia.
338 $a volume $b nc $2 rdacarrier.
490 1 $a Cambridge tracts in mathematics ; $v 217.
504 $a Includes bibliographical references (pages 236-240) and index.
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 Schr诤inger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.
650 # 0 $a Gross-Pitaevskii equations. $3 715984
650 # 0 $a Schrodinger equation. $3 251577
650 # 0 $a Differential equations, Nonlinear. $3 185178
830 0 $a Cambridge tracts in mathematics ; $v 96. $3 829132