A transmission problem for quasi-linear wave equations
Analysis of PDEs
2014-01-17 v1 General Relativity and Quantum Cosmology
Abstract
We prove the local existence and uniqueness of solutions to a system of quasi-linear wave equations involving a jump discontinuity in the lower order terms. A continuation principle is also established.
Cite
@article{arxiv.1401.0277,
title = {A transmission problem for quasi-linear wave equations},
author = {Lars Andersson and Todd A. Oliynyk},
journal= {arXiv preprint arXiv:1401.0277},
year = {2014}
}
Comments
The results of this article are essential to a local existence proof of solutions to the Einstein field equations coupled to elastic matter that represent gravitating compact bodies. The full existence proof will be presented in a separate article