Analysis of Hamiltonian PDEs
$234.59
- Hardcover
224 pages
- Release Date
7 September 2000
Summary
For the last 20-30 years, interest among mathematicians and physicists in infinite-dimensional Hamiltonian systems and Hamiltonian partial differential equations has been growing strongly, and many papers and a number of books have been written on integrable Hamiltonian PDEs. During the last decade though, the interest has shifted steadily towards non-integrable Hamiltonian PDEs. Here, not algebra but analysis and symplectic geometry are the appropriate analysingtools. The present book is the…
Book Details
| ISBN-13: | 9780198503958 |
|---|---|
| ISBN-10: | 0198503954 |
| Series: | Oxford Lecture Series in Mathematics and Its Applications |
| Author: | Sergei B. Kuksin |
| Publisher: | Oxford University Press |
| Imprint: | Oxford University Press |
| Format: | Hardcover |
| Number of Pages: | 224 |
| Release Date: | 7 September 2000 |
| Weight: | 463g |
| Dimensions: | 241mm x 161mm x 17mm |
What They're Saying
Critics Review
“The aim of this book is to present the following form of the proof of Kolmogorov-Arnold-Moser (KAM) theorem: most of the space-periodic finite-gap solutions of a Lax-integrable Hamiltonian partial differential equations (PDE) persist under a small perturbation of the equation as timequasiperiodic solutions of the perturbed equation. This theorem provides an important tool for an effective study of PDEs.”–EMS
“The book was written to present a complete proof of the following infinite-dimensional KAM theorem: most space-periodic finite-gap solutions of a Lax-integrable partial differential equation persist under a small Hamiltonian perturbation of the equation as time-periodic solutions of the perturbed equation…The book provides a very useful source of information for both integrable and non-integrable differential equations.”–MATH“This is the first monograph where KAM-theory for PDEs is discussed systematically; most journal publications on the subject deal with particular examples rather than with general settings. The author succeeds in presenting a harmonic combination of general theory with nontrivial examples such as KdV (including KdV hierarchy) and sine-Gordon equations … the book is carefully written …”–Mathematical ReviewsAbout The Author
Sergei B. Kuksin
Sergei B. Kuksin, Professor of Mathematics, Heriot-Watt University, Edinburgh, and Steklov Mathematical Institute, Moscow
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