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Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory by Peter E. Zhidkov
Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory by Peter E. Zhidkov
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Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory

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Description

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.
Release date NZ
April 24th, 2001
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
X, 154 p.
Pages
154
Dimensions
156x234x8
ISBN-13
9783540418337
Product ID
5266443

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