TY - JOUR
T1 - On Global Smooth Solution of a Semi-linear System of Wave Equations in <em>R</em><sup>3</sup>
JO - Journal of Partial Differential Equations
VL - 1
SP - 74
EP - 96
PY - 2009
DA - 2009/02
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5248.html
KW - Critical
KW - subcritical
KW - Strichartz's estimate
KW - Lagrangian function
KW - Morawetz-Poho\check{z}ev identity
KW - Huygen's principle
AB - <p>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 solution of the systemfor subcritical case by using conservation of energy and Strichartz&#39;s estimate. On the basis ofMorawetz-Poho\check{z}ev identity, we obtain the same result for the critical case.</p>