Author: G. Gentile, V. Mastropietro

Title: Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method

Abstract: We introduce a renormalized Lindstedt series for the oscillatory solutions of nonlinear wave equations (like the nonlinear Klein-Gordon and sine-Gordon) with Dirichlet boundary conditions, and we prove its convergence via Renormalization Group methods.