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arXiv · 1501.01384

Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary

Michel Cristofol·Shumin Li·Eric Soccorsi
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Abstract

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.

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Michel Cristofol, Shumin Li, Eric Soccorsi. 2015-01-07. Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary. https://arxiv.org/abs/1501.01384

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