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 - Procesi, M
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 -
TY - JOUR
T1 - KAM theory for the hamiltonian derivative wave equation
JF - Annales Scientifiques de l'Ecole Normale Superieure
Y1 - 2013
A1 - Massimiliano Berti
A1 - Luca Biasco
A1 - Procesi, M
AB - We prove an infinite dimensional KAM theorem which implies the existence of Can- tor families of small-amplitude, reducible, elliptic, analytic, invariant tori of Hamiltonian derivative wave equations. © 2013 Société Mathématique de France.
VL - 46
N1 - cited By (since 1996)4
ER -