Analysis of Hamiltonian PDEs

Name: Analysis of Hamiltonian PDEs
Price: 20.95 USD
Availability: InStock
ISBN: 9780198503958

ISBN-10: 0198503954

ISBN-13: 9780198503958

Edition: 2000

Authors: Sergei B. Kuksin

List price: $205.00

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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 analysing tools. The present book is the first one to use this approach to Hamiltonian PDEs and will be an invaluable source of information for postgraduate mathematics and physics students and researchers.

Book details

List price: $205.00
Copyright year: 2000
Publisher: Oxford University Press, Incorporated
Publication date: 11/9/2000
Binding: Hardcover
Pages: 224
Size: 6.14" wide x 9.21" long x 0.67" tall
Weight: 1.056
Language: English



PrefaceNotations



Unperturbed equations



Some analysis in Hilbert spaces and scales



Integrable subsystems and Lax-integrable equations



Finite-gap manifolds for the KdV equation and theta-formulas



Sine-Gordon equation



Linearised equations and their Floquet solutions



Linearised Lax-integrable equations



Normal forms



Perturbed equations



A KAM theorem for perturbed nonlinear equations



Examples



Proof of KAM-theorem on parameter-depending equations



Linearised equations



First-order linear differential equations on n-torus


Addendum: The theorem of A.N. Kolmogorov


Index


Bibliography