Global smooth solution for nonlinearly damped _p-system with large initial data

Abstract

In this paper, we prove the existence of global smooth solution for the Cauchy problem of nonlinearly damped p-system with large initial data. The analysis is based on several key a prioriestirmates. which are obtained by the tnaxirnum principle. Our results extend the corresponding results in [l0,11].

Keywords:

• Nonlinearly damped p-system
• maximum principle
• global smooth solution

AMS:

• 35L65