Exact Controllability of Wave Equations with Interior Degeneracy and One-Sided Boundary Control
查看参考文献20篇
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文摘
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In this paper, the authors mainly consider the exact controllability for degenerate wave equation, which degenerates at the interior point, and boundary controls acting at only one of the boundary points. The main results are that, it is possible to control both the position and the velocity at every point of the body and at a certain time T for the wave equation with interior weakly degeneracy. Moreover, it is shown that the exact controllability fails for the wave equation with interior strongly degeneracy. In order to steer the system to a certain state, one needs controls to act on both boundary points for the wave equation with interior strongly degeneracy. The difficulties are addressed by means of spectral analysis. |
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来源
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Journal of Systems Science and Complexity
,2023,36(2):656-671 【核心库】
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DOI
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10.1007/s11424-023-1094-3
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关键词
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Boundary control
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degenerate wave equation
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exact controllability
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interior degeneracy
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地址
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1.
School of Mathematical Sciences,Shanxi University, Taiyuan, 030006
2.
School of Mathematics,Jinzhong University, Jinzhong, 030619
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1009-6124 |
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学科
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数学 |
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基金
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国家自然科学基金
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the National Natural Science Foundation of China for the Youth
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Shanxi Sciences Project for Selected Overseas Scholars
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the Technical Innovation Team of Jinzhong University
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文献收藏号
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CSCD:7551094
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参考文献 共
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