Analysis of Hamiltonian PDEs /
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| Author / Creator: | Kuksin, Sergej B., 1955- |
|---|---|
| Imprint: | Oxford ; New York : Oxford University Press, 2000. |
| Description: | xii, 212 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Oxford lecture series in mathematics and its applications 19 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4379822 |
Table of Contents:
- PrefaceNotations
- I. Unperturbed equations
- 1. Some analysis in Hilbert spaces and scales
- 2. Integrable subsystems and Lax-integrable equations
- 3. Finite-gap manifolds for the KdV equation and theta-formulas
- 4. Sine-Gordon equation
- 5. Linearised equations and their Floquet solutions
- 6. Linearised Lax-integrable equations
- 7. Normal forms
- II. Perturbed equations
- 1. A KAM theorem for perturbed nonlinear equations
- 2. Examples
- 3. Proof of KAM-theorem on parameter-depending equations
- 4. Linearised equations
- 5. First-order linear differential equations on n-torus
- Addendum: The theorem of A.N. Kolmogorov
- Index
- Bibliography