Coverart for item
The Resource Korteweg-de Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov

Korteweg-de Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov

Label
Korteweg-de Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory
Title
Korteweg-de Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations
Title remainder
qualitative theory
Statement of responsibility
Peter E. Zhidkov
Creator
Subject
Language
eng
Summary
The emphasis of this book is on questions typical of nonlinear analysis and qualitative theory of PDEs. The selection of the material is related to the author's attempt to illuminate those particularly interesting questions not yet covered in other monographs though they have been the subject of published articles. One chapter, for example, is devoted to the construction of invariant measures for dynamical systems generated by certain equations and a result from a recent paper on basic properties of a system of eigenfunctions of a stationary problem. Also considered is an application of the method of qualitative theory of ODes to proving the existence of radial solutions of stationary problems and stability of solutions of NLSE nonvanishing as the spatial variable tends to infinity. Finally a recent result on the existence of an infinite sequence of invariant measures for the inegrable KdV equation is presented
Member of
Cataloging source
COO
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Zhidkov, Peter E.
Dewey number
  • 510 s
  • 515/. 353
Index
index present
Language note
English
LC call number
  • QA3
  • QA377
LC item number
.L28 no. 1756
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1756
http://library.link/vocab/subjectName
  • Korteweg-de Vries equation
  • Schrödinger equation
  • Korteweg-de Vries equation
  • Schrödinger equation
  • Qualitative Theorie
  • Nichtlineare Schrödinger-Gleichung
  • Korteweg-de-Vries-Gleichung
  • Schrödinger, Équation de
  • Korteweg-de Vries, Équation de
Label
Korteweg-de Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Notation -- Evolutionary equations. Results on existance: The (generalized Korteweg-de Vries equation (KdVE); The nonlinear Schrdinger equation (NLSE); On the blowing up of solutions; Additional remarks -- Stationary problems: Existence of solutions. An ODE approach; Existence of solutions. A variational method; The concentration-compactness method of P.L. Lions; On basis properties of systems of solutions; Additional remarks -- Stability of solutions: Stability of soliton-like solutions; Stability of kinks for the KdVE; Stability of solutions of the NLSE nonvanishing as (x) to infinity; Additional remarks -- Invariant measures: On Gaussian measures in Hilbert spaces; An invariant measure for the NLSE; An infinite series of invariant measures for the KdVE; Additional remarks -- Bibliography -- Index
Control code
619635208
Dimensions
unknown
Extent
1 online resource (146 pages).
Form of item
online
Isbn
9783540452768
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/3-540-45276-1
Specific material designation
remote
System control number
(OCoLC)619635208
Label
Korteweg-de Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Notation -- Evolutionary equations. Results on existance: The (generalized Korteweg-de Vries equation (KdVE); The nonlinear Schrdinger equation (NLSE); On the blowing up of solutions; Additional remarks -- Stationary problems: Existence of solutions. An ODE approach; Existence of solutions. A variational method; The concentration-compactness method of P.L. Lions; On basis properties of systems of solutions; Additional remarks -- Stability of solutions: Stability of soliton-like solutions; Stability of kinks for the KdVE; Stability of solutions of the NLSE nonvanishing as (x) to infinity; Additional remarks -- Invariant measures: On Gaussian measures in Hilbert spaces; An invariant measure for the NLSE; An infinite series of invariant measures for the KdVE; Additional remarks -- Bibliography -- Index
Control code
619635208
Dimensions
unknown
Extent
1 online resource (146 pages).
Form of item
online
Isbn
9783540452768
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/3-540-45276-1
Specific material designation
remote
System control number
(OCoLC)619635208

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