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Journal Articles Mathematical Control and Related Fields Year : 2016

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

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 Hölder stability with the aid of a Carleman estimate specifically designed for hyperbolic waveguides.
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Dates and versions

hal-01098369 , version 1 (24-12-2014)

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Michel Cristofol, Shumin Li, Eric Soccorsi. Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary. Mathematical Control and Related Fields, 2016, 6 (3), pp.407 - 427. ⟨10.3934/mcrf.2016009⟩. ⟨hal-01098369⟩
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