Existence and persistence of invariant manifolds for semiflows in Banach space / Peter W. Bates, Kening Lu, Chongchun Zeng.

Format:

Book

Author/Creator:

Bates, Peter W., 1947- author.

Lu, Kening, 1962- author.

Zeng, Chongchun, 1973- author.

Series:

Memoirs of the American Mathematical Society ; no. 645.

Memoirs of the American Mathematical Society, 0065-9266 ; number 645

Language:

English

Subjects (All):

Differentiable dynamical systems.

Hyperbolic spaces.

Invariant manifolds.

Flows (Differentiable dynamical systems).

Physical Description:

1 online resource (145 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1998]

Language Note:

English

Summary:

Extends the theory for normally hyperbolic invariant manifolds to infinite dimensional dynamical systems in a Banach space, thereby providing tools for the study of PDE's and other infinite dimensional equations of evolution. In the process, the authors establish the existence of center-unstable and center-stable manifolds in a neighborhood of the unperturbed compact manifold. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Contents:

""Contents""; ""Section 1. Introduction""; ""Section 2. Notation and Preliminaries""; ""Section 3. Statements of Theorems""; ""Section 4. Local Coordinate Systems""; ""Section 5. Cone Lemmas""; ""Section 6. Center-Unstable Manifold""; ""Section 7. Center-Stable Manifold""; ""Section 8. Smoothness of Center-Stable Manifold""; ""Section 9. Smoothness of Center-Unstable Manifold""; ""Section 10. Persistence of Invariant Manifold""; ""Section 11. Persistence of Normal Hyperbolicity""; ""Section 12. Invariant Manifolds for Perturbed Semiflow""; ""References""

Notes:

"September 1998, volume 135, number 645 (end of volume)".

Includes bibliographical references (pages 125-129).

Description based on print version record.

ISBN:

1-4704-0234-3