National Science Library of Georgia

Defocusing nonlinear Schrödinger equations / (Record no. 514491)

MARC details
000 -LEADER
fixed length control field 02370nam a22003738i 4500
001 - CONTROL NUMBER
control field CR9781108590518
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160156.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 171221s2019||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781108590518 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781108472081 (hardback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC174.26.W28
Item number D63 2019
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.12/4
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Dodson, Benjamin,
Dates associated with a name 1983-
Relator term author.
245 10 - TITLE STATEMENT
Title Defocusing nonlinear Schrödinger equations /
Statement of responsibility, etc Benjamin Dodson.
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2019.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xii, 242 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Cambridge tracts in mathematics ;
Volume number/sequential designation 217
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 22 Mar 2019).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Gross-Pitaevskii equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Schrödinger equation.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations, Nonlinear.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9781108472081
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge tracts in mathematics ;
Volume number/sequential designation 217.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://www.cambridge.org/core/product/identifier/9781108590518/type/BOOK">https://www.cambridge.org/core/product/identifier/9781108590518/type/BOOK</a>

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