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Existence and stability of quasi-periodic solutions for derivative wave equations

Berti, M.
•
Biasco, L.
•
Procesi, M.
2013
  • journal article

Periodico
ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI
Abstract
In this note we present new KAM result about existence of Cantor families of small amplitude, analytic, quasi-periodic solutions of derivative wave equations, with zero Lyapunov exponents and whose linearized equation is reducible to constant coefficients. In turn, this result is derived by an abstract KAM theorem for infinite dimensional reversible dynamical systems.
DOI
10.4171/RLM/652
WOS
WOS:000322889200004
Archivio
http://hdl.handle.net/20.500.11767/15844
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84884802423
https://arxiv.org/abs/1209.5419
https://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=24&iss=2&rank=4
Diritti
metadata only access
Soggetti
  • Wave equation

  • KAM for PDE

  • quasi-periodic soluti...

  • small divisor

  • quasi-Toplitz propert...

  • Settore MAT/05 - Anal...

Scopus© citazioni
13
Data di acquisizione
Jun 2, 2022
Vedi dettagli
Web of Science© citazioni
16
Data di acquisizione
Mar 11, 2024
Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
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