On Global Smooth Solution of A Semi-Linear System of Wave Equations in R3

摘要

In this paper we consider the Cauchy problem for a semi-linear system of wave equations with Hamilton structure. We prove the existence of global smooth so-lution of the system for subcritical case by using conservation of energy and Strichartz's estimate. On the basis of Morawetz-Poho2ev identity, we obtain the same result for the critical case.