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Existence and stability of quasi-periodic solutions for derivative wave equations (1209.5419v1)
Published 24 Sep 2012 in math.AP and math.DS
Abstract: In this note we present a new KAM result 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.