一个拟线性波动方程模型的初边值问题

摘要

本文研究了一类二阶拟线性波动方程的初边值问题。利用特征分析和局部解延拓的方法，在一定的假设条件下得到了经典解的整体存在性，进一步推广了杨晗和刘法贵的结果[8]。%In this paper, the authors consider the IBVP for a class of second-order quasilin-ear wave equation. By the method of characteristic analysis, the global smooth resolvability are obtained under certain hypotheses on the initial data, which extend the result of Yang and Liu [8].