Existence of global classical solution for nonstrictly quasilinear hyperbolic systems in high dimensional spaces

Abstract

In this paper, we prove the existence of global classical solutions to the Cauchy problem for a class of nonstrictly quasilinear hyperbolic systems in high dimensional spaces. Our analysis is based on several key a priori estimates, which are obtained by the classical characteristic method and the maximum principle. As an example in one dimensional spaces, our results are applied to a model occuring in gas dynamics.

Keywords:

• A Priori Estimates
• Characteristic Method
• Maximum Principle
• Global Classical Solutions

Additional information

Notes on contributors

Woo Ching Wah