The Resource Kortewegde Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov
Kortewegde Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov
Resource Information
The item Kortewegde Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Kortewegde Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (146 pages).
 Contents

 Introduction
 Notation
 Evolutionary equations. Results on existance: The (generalized Kortewegde 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 concentrationcompactness method of P.L. Lions; On basis properties of systems of solutions; Additional remarks
 Stability of solutions: Stability of solitonlike 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
 Isbn
 9783540452768
 Label
 Kortewegde Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory
 Title
 Kortewegde Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations
 Title remainder
 qualitative theory
 Statement of responsibility
 Peter E. Zhidkov
 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
 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

 Kortewegde Vries equation
 Schrödinger equation
 Kortewegde Vries equation
 Schrödinger equation
 Qualitative Theorie
 Nichtlineare SchrödingerGleichung
 KortewegdeVriesGleichung
 Schrödinger, Équation de
 Kortewegde Vries, Équation de
 Label
 Kortewegde Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov
 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 Kortewegde 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 concentrationcompactness method of P.L. Lions; On basis properties of systems of solutions; Additional remarks  Stability of solutions: Stability of solitonlike 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
 10.1007/3540452761
 Specific material designation
 remote
 System control number
 (OCoLC)619635208
 Label
 Kortewegde Vries and nonlinear Schrogïnger [i.e. Schrödinger] equations : qualitative theory, Peter E. Zhidkov
 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 Kortewegde 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 concentrationcompactness method of P.L. Lions; On basis properties of systems of solutions; Additional remarks  Stability of solutions: Stability of solitonlike 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
 10.1007/3540452761
 Specific material designation
 remote
 System control number
 (OCoLC)619635208
Subject
 Kortewegde Vries equation
 Kortewegde Vries equation
 Kortewegde Vries, Équation de
 KortewegdeVriesGleichung
 Nichtlineare SchrödingerGleichung
 Qualitative Theorie
 Schrödinger equation
 Schrödinger equation
 Schrödinger equation
 Schrödinger, Équation de
 Kortewegde Vries equation
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