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A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation

Keywords: hyperbolic integro-differential equation, carleman estimate, inverse source problem, stability estimate.

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Abstract:

first we prove a carleman estimate for a hyperbolic integro-differential equation. next we apply such a result to identify a spatially dependent function in a source term by an (additional) single measurement on the boundary.

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