Asymptotic behaviour of non-radiative solution to the wave equations
Analysis of PDEs
2022-01-10 v1
Abstract
In this work we consider weakly non-radiative solutions to both linear and non-linear wave equations. We first characterize all weakly non-radiative free waves, without the radial assumption. Then in dimension 3 we show that the initial data of non-radiative solutions to a wide range of nonlinear wave equations are similar to those of non-radiative free waves in term of asymptotic behaviour.
Keywords
Cite
@article{arxiv.2201.02286,
title = {Asymptotic behaviour of non-radiative solution to the wave equations},
author = {Liang Li and Ruipeng Shen and Chenhui Wang and Lijuan Wei},
journal= {arXiv preprint arXiv:2201.02286},
year = {2022}
}
Comments
20 pages