拟线性双曲组Cauchy问题经典解的整体存在性(英文)  

Global Existence of Classical Solution to the Cauchy Problem for Quasilinear Hyperbolic Systems

作　　者：闫萍[1] 盛其荣[1] 

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》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)

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.

关 键 词：弱线性退化 小初始全变差 经典解 拟线性双曲组 

分 类 号：O175.27[理学—数学]