Local Existence of a Classical Solution for Quasi-Linear Hyperbolic Systems
Analysis of PDEs
2025-01-17 v1
Abstract
In this paper, we study quasi-linear hyperbolic systems. Our goal in this paper is to provide a new proof of local existence of a classical solution for the system. Most difficult point is to prove the convergence of the derivative of approximate solutions by the Arzela-Ascoli theorem.
Cite
@article{arxiv.2501.09346,
title = {Local Existence of a Classical Solution for Quasi-Linear Hyperbolic Systems},
author = {Shih-Wei Chou and Ying-Chieh Lin and Naoki Tsuge},
journal= {arXiv preprint arXiv:2501.09346},
year = {2025}
}