English

Quasi-periodic solutions of completely resonant forced wave equations

Functional Analysis 2007-05-23 v1 Analysis of PDEs

Abstract

We prove existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced nonlinear wave equations with periodic spatial boundary conditions. We consider both the cases the forcing frequency is: (Case A) a rational number and (Case B) an irrational number.

Keywords

Cite

@article{arxiv.math/0504406,
  title  = {Quasi-periodic solutions of completely resonant forced wave equations},
  author = {Massimiliano Berti and Michela Procesi},
  journal= {arXiv preprint arXiv:math/0504406},
  year   = {2007}
}

Comments

25 pages, 1 figure