English

KAM for reversible derivative wave equations

Analysis of PDEs 2015-04-30 v2 Dynamical Systems

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

Keywords

Cite

@article{arxiv.1211.2136,
  title  = {KAM for reversible derivative wave equations},
  author = {M. Berti and L. Biasco and M. Procesi},
  journal= {arXiv preprint arXiv:1211.2136},
  year   = {2015}
}

Comments

39 pages

R2 v1 2026-06-21T22:35:33.294Z