摘要
利用连续G limm泛函得到一阶拟线性双曲组具小全变差初值的C auchy问题经典解的整体存在惟一性,并且给出一个应用举例.
By means of the continuous Glimm functional, the paper obtains the global existence and uniqueness of classical solution to the Cauchy problem for general first order quasilinear hyperbolic systems and an application is given.
出处
《新疆大学学报（自然科学版）》
CAS
2006年第3期271-276,共6页
Journal of Xinjiang University(Natural Science Edition)
基金
This work is supported by College Science&Research Plan Project of Xinjiang Uighur Au-tonomous Region(No.XJEDU2004S04)
关键词
弱线性退化
小初始全变差
经典解
拟线性双曲组
Weakly linearly degenerate
small initial total variation
classical solution
quasilinear hyperbolic system
