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arxiv: 1501.01384 · v1 · pith:IXLV2D76new · submitted 2015-01-07 · 🧮 math.AP

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

classification 🧮 math.AP
keywords hyperbolicboundaryconductivitydeterminingequationsinglecarlemancoefficient
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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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