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  • 标题:The controllability for the internally controlled 1-D wave equation via a finite difference method
  • 本地全文:下载
  • 作者:Juntao Li ; Yuhan Zheng ; Guojie Zheng
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:301
  • DOI:10.1186/s13662-016-1028-7
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study the controllability of the semi-discrete internally controlled 1-D wave equation by using the finite difference method. In the discrete setting of the finite difference method, we derive the observability inequality and get the exact controllability for the semi-discrete internally controlled wave equation in the one-dimensional case. Then we also analyze whether the uniform observability inequality holds for the adjoint system as h → 0 $h ightarrow0$ .
  • 关键词:wave equation ; finite difference ; observability inequality
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