摘要
考虑具周期始值的一阶拟线性双曲型方程Ｃａｕｃｈｙ 问题，揭示了耗散与经典周期解光滑性之间的关系．进一步，如果经典周期解在有限时间内破裂，则给出了其生命跨度的上界估计．
In this paper we consider Cauchy problem of the first order quasilinear hyperbolic equation with periodic initial data, and show the relationship between dissipation and smoothness of classical periodic solutions.
出处
《华北水利水电学院学报》
1999年第3期60-62,共3页
North China Institute of Water Conservancy and Hydroelectric Power
基金
河南省教委基金
关键词
拟线性
双曲型方程
耗散
经典周期解
quasilinear hyperbolic equation
dissipation
classical periodic solution
life span
