02-479 Guido Gentile and Vieri Mastropietro

Construction of periodic solutions of the nonlinear wave equation under strong irrationality conditions by the Lindstedt series method (276K, postscrip) Nov 22, 02

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We prove the existence of oscillatory solutions of the nonlinear wave equation, under irrationality conditions stronger than the usual Diophantine one, by perturbative techniques inspired by the Lindstedt series method originally introduced in classical mechanics to study the existence of invariant tori in quasi-integrable Hamiltonian systems

Files: 02-479.src( 02-479.keywords , gm-pde.ps )