Scattering property for a system of Klein-Gordon equations with energy below ground state
Analysis of PDEs
2024-01-15 v1
Abstract
In the previous work, we classified the solutions to a family of systems of Klein-Gordon equations with non-negative energy below the ground state into two parts: one blows up in finite time while the other extends to a global solution. In the present work, we strengthen this result, showing that these global solutions are indeed scattering in the energy space. Here we adapted Kenig-Merle's concentration-compactness approach to the system.
Keywords
Cite
@article{arxiv.2401.06613,
title = {Scattering property for a system of Klein-Gordon equations with energy below ground state},
author = {Yan Cui and Bo Xia},
journal= {arXiv preprint arXiv:2401.06613},
year = {2024}
}