Standing wave solutions and instability for the Logarithmic Klein-Gordon equation
Analysis of PDEs
2024-02-20 v1
Abstract
In this paper, we study the standing wave solutions of Klein--Gordon equation with logarithmic nonlinearity. The existence of the standing wave solution related to the ground state is obtained. Further, we prove the instability of solutions around .
Cite
@article{arxiv.2402.11546,
title = {Standing wave solutions and instability for the Logarithmic Klein-Gordon equation},
author = {Lijia Han and Yue Qiu and Xiaohong Wang},
journal= {arXiv preprint arXiv:2402.11546},
year = {2024}
}