Nearly Integrable Infinite-Dimensional Hamiltonian Systems

Nearly Integrable Infinite-Dimensional Hamiltonian Systems

AngličtinaEbook
Kuksin, Sergej B.
Springer Berlin Heidelberg
EAN: 9783540479208
Dostupné online
707 Kč
Běžná cena: 786 Kč
Sleva 10 %
ks

Podrobné informace

The book is devoted to partial differential equations ofHamiltonian form, close to integrable equations. For suchequations a KAM-like theorem is proved, stating thatsolutions of the unperturbed equation that are quasiperiodicin time mostly persist in the perturbed one. The theorem isapplied to classical nonlinear PDE's with one-dimensionalspace variable such as the nonlinear string and nonlinearSchr|dinger equation andshow that the equations have&quote;regular&quote; (=time-quasiperiodic and time-periodic) solutionsin rich supply. These results cannot be obtained by other techniques. Thebook will thus be of interest to mathematicians andphysicists working with nonlinear PDE's. An extensivesummary of the results and of related topics isprovided in the Introduction. All the nontraditionalmaterial used is discussed in the firstpart of the book andin five appendices.
EAN 9783540479208
ISBN 3540479201
Typ produktu Ebook
Vydavatel Springer Berlin Heidelberg
Datum vydání 14. listopadu 2006
Jazyk English
Země Germany
Autoři Kuksin, Sergej B.
Série Lecture Notes in Mathematics
Informace o výrobci
Kontaktní informace výrobce nejsou momentálně dostupné online, na nápravě intenzivně pracujeme. Pokud informaci potřebujete, napište nám na info@megabooks.cz, rádi Vám ji poskytneme.