| 拟线性双曲组Cauchy问题经典解的整体存在性 |
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| 引用本文： | 闫萍,盛其荣.拟线性双曲组Cauchy问题经典解的整体存在性[J].新疆大学学报(理工版),2006,23(3):271-276. |
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| 作者姓名： | 闫萍 盛其荣 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐830046 |
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| 基金项目： | This work is supported by College Science ＆ Research Plan Project of Xinjiang Uighur Autonomous Region （No. XJEDU2004S04） |
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| 摘 要： | 利用连续Glimm泛函得到一阶拟线性双曲组具小全变差初值的Cauchy问题经典解的整体存在惟一性，并且给出一个应用举例．
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| 关 键 词： | 弱线性退化 小初始全变差 经典解 拟线性双曲组 |
| 文章编号： | 1000-2839-（2006）03-0271-06 |
| 收稿时间： | 2005-03-04 |
| 修稿时间： | 2005年3月4日 |
Global Existence of Classical Solution to the Cauchy Problem for Quasilinear Hyperbolic Systems |
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| YAN Ping,SHENG Qi-rong.Global Existence of Classical Solution to the Cauchy Problem for Quasilinear Hyperbolic Systems[J].Journal of Xinjiang University(Science & Engineering),2006,23(3):271-276. |
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| Authors: | YAN Ping SHENG Qi-rong |
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| Institution: | College of Mathematics and System Science, Xinjiang University, Urumqi , Xinjiang 830046, China |
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| Abstract: | 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. |
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| Keywords: | Weakly linearly degenerate small initial total variation classical solution quasilinear hyperbolic system |
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