English

Construction of periodic solutions of multi-dimensional nonlinear wave equations with unbounded perturbation

Dynamical Systems 2025-03-04 v1

Abstract

By applying the Craig-Wayne-Bourgain (CWB) method, we establish the persistence of periodic solutions to multi-dimensional nonlinear wave equations (NLW) with unbounded perturbation.

Keywords

Cite

@article{arxiv.2503.00826,
  title  = {Construction of periodic solutions of multi-dimensional nonlinear wave equations with unbounded perturbation},
  author = {Huining Xue and Zuhong You and Xiaoping Yuan},
  journal= {arXiv preprint arXiv:2503.00826},
  year   = {2025}
}