Variational methods for breather solutions of Nonlinear Wave Equations
Analysis of PDEs
2021-08-11 v3
Abstract
We construct infinitely many real-valued, time-periodic breather solutions of power-type nonlinear wave equations. These solutions are obtained from critical points of a dual functional and they are weakly localized in space. Our abstract framework allows to find similar existence results for the Klein-Gordon equation or biharmonic wave equations.
Cite
@article{arxiv.2009.02028,
title = {Variational methods for breather solutions of Nonlinear Wave Equations},
author = {Rainer Mandel and Dominic Scheider},
journal= {arXiv preprint arXiv:2009.02028},
year = {2021}
}