| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8898178 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2017 | 18 Pages |
Abstract
We consider a class of nonlinear Klein-Gordon equations utt=uxxâu+f(u) and obtain a family of small amplitude periodic solutions, where the temporal and spatial period have different scales. The proof is based on a combination of Lyapunov-Schmidt reduction, averaging and Nash-Moser iteration.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nan Lu,