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*.
Berti, M., Biasco, L., Procesi, M. (2013). Existence and stability of quasi-periodic solutions for derivative wave equations. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 24(2), 199-214 [10.4171/rlm/652].
Existence and stability of quasi-periodic solutions for derivative wave equations
BIASCO, LUCA;PROCESI, MICHELA
2013-01-01
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*.File in questo prodotto:
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