Title | Existence and stability of quasi-periodic solutions for derivative wave equations |
Publication Type | Journal Article |
Year of Publication | 2013 |
Authors | Berti, M, Biasco, L, Procesi, M |
Journal | Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni |
Volume | 24 |
Pagination | 199-214 |
ISSN | 11206330 |
Keywords | Constant coefficients; Dynamical systems; Existence and stability; Infinite dimensional; KAM for PDEs; Linearized equations; Lyapunov exponent; Lyapunov methods; Quasi-periodic solution; Small divisors; Wave equations |
Abstract | In this note we present the new KAM result in [3] which proves the 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 |