Observability inequalities for the transmission of shallow shells

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• 作者：Shugen Chai and Kangsheng Liu
• 关键词：Observability inequality ; Transmission ; Shallow shell
• 刊名：Systems and Control Letters
• 出版年：2006
• 出版时间：September 2006
• 年：2006
• 卷：55
• 期：9
• 页码：726-735
• 全文大小：265 K

文摘

In this paper, we establish some observability inequalities from both boundary and distributed controls for the transmission of shallow shell with a middle surface of any shape. In particular, if only the boundary controls are allowed, we obtain the condition for the observability inequality on Young's modulus and Poisson's coefficient of the material which is similar as those in the case of wave and plate equations.