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Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary
Mathematical Control and Related Fields ( IF 1.0 ) Pub Date : 2016-08-01 , DOI: 10.3934/mcrf.2016009
Michel Cristofol , Shumin Li , Eric Soccorsi

We consider the multidimensional inverse problem of determining the conductivity coefficient of a hyperbolic equation in an infinite cylindrical domain, from a single boundary observation of the solution. We prove H{\"o}lder stability with the aid of a Carleman estimate specifically designed for hyperbolic waveguides.

中文翻译:

从横向边界上的单次测量确定双曲方程中的波导电导率

我们考虑从解的单个边界观察确定无限圆柱域中双曲方程的电导系数的多维逆问题。我们借助专为双曲波导设计的卡尔曼估计证明了 H{\"o}lder 稳定性。
更新日期:2016-08-01
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