| 二阶拟线性双曲型方程组的精确边界能控性 |
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| 引用本文： | 于立新. 二阶拟线性双曲型方程组的精确边界能控性[J]. 工程数学学报, 2005, 22(2): 199-211 |
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| 作者姓名： | 于立新 |
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| 作者单位： | 娴台大学数学与信息科学系,山东,烟台,264005 |
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| 摘 要： | 本文利用具零特征的一阶拟线性双曲型方程组带一般非线性边界条件的混合初-边值问题的半整体C^1解的存在唯一性，对具一般类型非线性边界条件的二阶拟线性双曲型方程组建立了精确边界能控性。
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| 关 键 词： | 半整体C1解 精确边界能控性 二阶拟线性双曲型方程组 |
Exact Boundary Controllability for Second Order Quasilinear Hyperbolic Systems |
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| YU Li-xin. Exact Boundary Controllability for Second Order Quasilinear Hyperbolic Systems[J]. Chinese Journal of Engineering Mathematics, 2005, 22(2): 199-211 |
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| Authors: | YU Li-xin |
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| Abstract: | By means of the existence and uniqueness of semi-global C1 solution to the mixed initial boundary value problem with general nonlinear boundary conditions for first order quasi linear hyperbolic systems with zero eigenvalues, we establish the local exact boundary controllability for second order quasilinear hyperbolic systems with general nonlinear boundary conditions. |
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| Keywords: | semi-global C2 solution exact boundary controllability second order quasilinear hyperbolic systems |
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