1. Existence and stability of quasi-periodic solutions for derivative wave equations
- Author
-
Michela Procesi, Luca Biasco, Massimiliano Berti, Berti, M, Biasco, Luca, Procesi, Michela, Berti, Massimiliano, L., Biasco, and M., Procesi
- Subjects
Pure mathematics ,quasi-toeplitz property ,Mathematics::Dynamical Systems ,General Mathematics ,Lyapunov exponent ,Dynamical Systems (math.DS) ,quasi-töplitz property ,kam for pde ,symbols.namesake ,Mathematics - Analysis of PDEs ,Settore MAT/05 - Analisi Matematica ,Wave equation ,KAM for PDEs ,quasi-periodic solutions ,small divisors ,quasi-Toplitz property ,quasi-toplitz property ,FOS: Mathematics ,Mathematics - Dynamical Systems ,Korteweg–de Vries equation ,Eigenvalues and eigenvectors ,Mathematics ,Kolmogorov–Arnold–Moser theorem ,37K55, 35L05 ,small divisor ,Nonlinear Sciences::Chaotic Dynamics ,Nonlinear system ,Dirichlet boundary condition ,kam for pdes ,wave equation ,symbols ,Principal part ,KAM for PDE ,quasi-periodic solution ,Analysis of PDEs (math.AP) - 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., Comment: 13 pages
- Published
- 2013