TY - JOUR
T1 - Existence and stability of quasi-periodic solutions for derivative wave equations
JF - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Y1 - 2013
A1 - Massimiliano Berti
A1 - Luca Biasco
A1 - Michela Procesi
KW - Constant coefficients
KW - Dynamical systems
KW - Existence and stability
KW - Infinite dimensional
KW - KAM for PDEs
KW - Linearized equations
KW - Lyapunov exponent
KW - Lyapunov methods
KW - Quasi-periodic solution
KW - Small divisors
KW - Wave equations
AB - 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*.
VL - 24
N1 - cited By (since 1996)0
ER -