Morawetz estimates and stabilization for damped Klein-Gordon equation with small data
Analysis of PDEs
2024-12-10 v1
Abstract
In the present paper, we show that the global solution to (partially) damped Klein-Gordon equation on the three dimensional Euclidean space with small data decays exponentially. The key ingredients in the proof are: Morawetz-type estimates for solutions with small data and Ruiz's unique continuation principle for wave equations.
Cite
@article{arxiv.2412.05987,
title = {Morawetz estimates and stabilization for damped Klein-Gordon equation with small data},
author = {Yan Cui and Bo Xia},
journal= {arXiv preprint arXiv:2412.05987},
year = {2024}
}