Stability and instability of standing-wave solutions to one dimensional quadratic-cubic Klein-Gordon equations
Analysis of PDEs
2022-09-12 v1 Dynamical Systems
Functional Analysis
Abstract
We study the stability of standing-waves solutions to a scalar non-linear Klein-Gordon equation in dimension one with a quadratic-cubic non-linearity. Orbits are obtained by applying the semigroup generated by the negative complex unit multiplication on a critical point of the energy constrained to the charge.
Cite
@article{arxiv.2209.04158,
title = {Stability and instability of standing-wave solutions to one dimensional quadratic-cubic Klein-Gordon equations},
author = {Daniele Garrisi},
journal= {arXiv preprint arXiv:2209.04158},
year = {2022}
}
Comments
19 pages, no figures