A nonlinear Klein-Gordon equation on a star graph
Spectral Theory
2021-08-17 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We study local well-posedness and orbital stability/instability of standing waves for a first order system associated with a nonlinear Klein-Gordon equation on a star graph. The proof of the well-posedness uses a classical fixed point argument and the Hille-Yosida theorem. Stability study relies on the linearization approach and recent results for the NLS equation with the -interaction on a star graph.
Cite
@article{arxiv.1912.00884,
title = {A nonlinear Klein-Gordon equation on a star graph},
author = {Nataliia Goloshchapova},
journal= {arXiv preprint arXiv:1912.00884},
year = {2021}
}
Comments
19 pages