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

Computational and Applied Mathematics (2006) 25(2-3) 229-250
DOI: 10.1590/s1807-03022006000200007
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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. Copyright © 2006 SBMAC.

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Cavaterra, C., Lorenzi, A., & Yamamoto, M. (2006). A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation. Computational and Applied Mathematics, 25(2–3), 229–250. https://doi.org/10.1590/s1807-03022006000200007

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