KAM for reversible derivative wave equations

Abstract

We prove 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. This result is derived by an abstract KAM theorem for infinite dimensional reversible dynamical systems

39 pages

References in corpus (2)

• Sobolev quasi periodic solutions of multidimensional wave equations with a multiplicative potential
• Quasi-Töplitz functions in KAM theorem

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