Cavaterra, Cecilia; Lorenzi, Alfredo; Yamamoto, Masahiro A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation. (English) Zbl 1182.45006 Comput. Appl. Math. 25, No. 2-3, 229-250 (2006). Summary: 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. Cited in 12 Documents MSC: 45Q05 Inverse problems for integral equations 45K05 Integro-partial differential equations Keywords:hyperbolic integro-differential equation; Carleman estimate; inverse source problem; stability estimate PDFBibTeX XMLCite \textit{C. Cavaterra} et al., Comput. Appl. Math. 25, No. 2--3, 229--250 (2006; Zbl 1182.45006) Full Text: Link