Korteweg-de Vries and nonlinear Schrodinger equations / Peter E. Zhidkov
- 作者： Zhidkov, Peter E.
- 其他作者：
- 其他題名：
- Springer e-books
- 出版： Berlin ;New York : Springer c2001
- 叢書名： Lecture notes in mathematics ,1756
- 主題： Korteweg-de Vries equation. , Schrodinger equation.
- ISBN： 9783540418337 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005168050 | 機讀編目格式
館藏資訊
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.