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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations
Wiggins, Stephen; Li, Y. Charles
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Description for Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations
hardcover. This monograph presents proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds. Series: Applied Mathematical Sciences. Num Pages: 180 pages, 3 black & white tables, biography. BIC Classification: PBKJ; PBKL; PBM; PBP; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 12. Weight in Grams: 444.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
1997
Publisher
Springer United States
Number of pages
180
Condition
New
Series
Applied Mathematical Sciences
Number of Pages
172
Place of Publication
New York, NY, United States
ISBN
9780387949253
SKU
V9780387949253
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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