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.
A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation / C. Cavaterra, A. Lorenzi, M. Yamamoto. - In: COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0101-8205. - 25:2-3(2006), pp. 229-250.
A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation
C. CavaterraPrimo
;A. LorenziSecondo
;
2006
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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