Pointwise convergence for the elastic wave equation
Analysis of PDEs
2022-06-14 v2
Abstract
We study pointwise convergence of the solution to the elastic wave equation to the initial data which lies in the Sobolev spaces. We prove that the solution converges along every lines to the initial data almost everywhere whenever the initial regularity is greater than one half. We show this is almost optimal.
Cite
@article{arxiv.2108.08475,
title = {Pointwise convergence for the elastic wave equation},
author = {Chu-Hee Cho and Seongyeon Kim and Yehyun Kwon and Ihyeok Seo},
journal= {arXiv preprint arXiv:2108.08475},
year = {2022}
}
Comments
To appear in Arch. Math., 8 pages