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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations
Li, Charles; Wiggins, Stephen
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Description for Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations
paperback. Series: Applied Mathematical Sciences. Num Pages: 180 pages, 3 black & white tables, biography. BIC Classification: PBF; PBK; PBM; PBW. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 9. Weight in Grams: 290.
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
Paperback
Publication date
2012
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
9781461273073
SKU
V9781461273073
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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