| 拟线性双曲组一类非局部混合初-边值问题的半整体C1解 |
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| 引用本文： | 徐玉兰. 拟线性双曲组一类非局部混合初-边值问题的半整体C1解[J]. 高校应用数学学报(A辑), 2006, 21(1) |
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| 作者姓名： | 徐玉兰 |
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| 作者单位： | 上海大学,数学系,上海,200444 |
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| 摘 要： | 在研究拟线性弦振动方程带第三类边值问题的精确边界能控性时,出现了拟线性双曲组一类非局部混合初-边值问题.论文先证明该类非局部混合问题局部C1解的存在惟一性,并考察其存在高度的性质,进而利用一致先验估计证明半整体C1解的存在惟一性,并以此为基础研究相应问题的精确边界能控性,最后为便于应用,将论文的结论写成了可化约方程组的情形.
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| 关 键 词： | 半整体解 非局部 混合初-边值问题 拟线性双曲组 |
Semi-global solutions to a class of nonlocal mixed initial-boundary value problem for quasi-linear hyperbolic systems |
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| XU Yu-lan. Semi-global solutions to a class of nonlocal mixed initial-boundary value problem for quasi-linear hyperbolic systems[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(1) |
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| Authors: | XU Yu-lan |
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| Abstract: | The paper is devoted to the proof of the existence and uniqueness of semi-global classical solutions to a class of nonlocal mixed initial-boundary value problem for quasilinear hyperbolic systems,based on which the exact boundary controllability of the corresponding problem is obtained. |
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| Keywords: | semi-global solution nonlocal mixed inital-boundary value problem quasi-linear hyperbolic system |
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