| 书目名称 | Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations |
| 编辑 | Charles Li,Stephen Wiggins |
| 视频video | |
| 概述 | Presents detailed and pedagogic proofs - The authors techniques can be applied to a broad class of infinite dimensional dynamical systems - Stephen Wiggins has authored many successful Springer titles |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | This book presents a development of invariant manifold theory for a spe cific canonical nonlinear wave system -the perturbed nonlinear Schrooinger equation. The main results fall into two parts. The first part is concerned with the persistence and smoothness of locally invariant manifolds. The sec ond part is concerned with fibrations of the stable and unstable manifolds of inflowing and overflowing invariant manifolds. The central technique for proving these results is Hadamard‘s graph transform method generalized to an infinite-dimensional setting. However, our setting is somewhat different than other approaches to infinite dimensional invariant manifolds since for conservative wave equations many of the interesting invariant manifolds are infinite dimensional and noncom pact. The style of the book is that of providing very detailed proofs of theorems for a specific infinite dimensional dynamical system-the perturbed nonlinear Schrodinger equation. The book is organized as follows. Chapter one gives an introduction which surveys the state of the art of invariant manifold theory for infinite dimensional dynamical systems. Chapter two develops the general setup for the perturbed |
| 出版日期 | Book 1997 |
| 关键词 | Area; Smooth function; differential equation; manifold; partial differential equation |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-1838-8 |
| isbn_softcover | 978-1-4612-7307-3 |
| isbn_ebook | 978-1-4612-1838-8Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer Science+Business Media New York 1997 |
发表于 2025-3-21 19:52:56
