| 一类拟线性双曲型方程组混合初一边值问题的局部C^1解 |
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| 引用本文： | 于立新,郭宜明.一类拟线性双曲型方程组混合初一边值问题的局部C^1解[J].烟台大学学报(自然科学与工程版),2006,19(1):6-11. |
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| 作者姓名： | 于立新 郭宜明 |
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| 作者单位： | 烟台大学数学与信息科学系,山东烟台264005 |
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| 基金项目： | 烟台大学博士基金资助项目（SX04833）. |
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| 摘 要： | 针对系数和右端项含有未知数x，右端含有已知函数的微分项，且具有零特征的一类形式更广泛的拟线性双曲型方程组的混合初一边值问题，对其相应的线性混合初一边值问题的局部C^1解得到了三个基本估计式，在此基础上，利用迭代法，得到了该混合初一边值问题局部C^1解的存在唯一性。
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| 关 键 词： | 局部C^1解 混合初一边值问题 拟线性双曲组 |
| 文章编号： | 1004-8820（2006）01-0006-06 |
| 收稿时间： | 2005-03-11 |
| 修稿时间： | 2005-03-11 |
Local C^1 Solution to the Mixed Initial-boundary Value Problem for Quasilinear Hyperbolic Systems |
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| YU Li-xin, GUO Yi-ming.Local C^1 Solution to the Mixed Initial-boundary Value Problem for Quasilinear Hyperbolic Systems[J].Journal of Yantai University(Natural Science and Engineering edirion),2006,19(1):6-11. |
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| Authors: | YU Li-xin GUO Yi-ming |
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| Institution: | Department of Mathematies and Informational Seienee, Yantai University, Yantai 264005, China |
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| Abstract: | This paper investigates the initial-boundary value problem for a kind of quasilinear hyper-bolic system with zero eigenvalues, which contains x and a differential argument of a function in its coefficient and the right argument respectively. Three basic inequalities about the local C^1 solution to the corresponding linear mixed initial-boundary value problem are got first, the existence and uniqueness of semi-global C^1 solution to this mixed initial-boundary value problem are proved. |
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| Keywords: | local C^1 solution mixed initial-boundary value problem quasilinear hyperbolic system |
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