Periodic solutions for a class of nonlinear partial differential equations in higher dimension
Analysis of PDEs
2015-05-13 v1 Dynamical Systems
Abstract
We prove the existence of periodic solutions in a class of nonlinear partial differential equations, including the nonlinear Schroedinger equation, the nonlinear wave equation, and the nonlinear beam equation, in higher dimension. Our result covers cases where the bifurcation equation is infinite-dimensional, such as the nonlinear Schroedinger equation with zero mass, for which solutions which at leading order are wave packets are shown to exist.
Cite
@article{arxiv.0804.4365,
title = {Periodic solutions for a class of nonlinear partial differential equations in higher dimension},
author = {Guido Gentile and Michela Procesi},
journal= {arXiv preprint arXiv:0804.4365},
year = {2015}
}
Comments
34 pages