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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I metadati presenti in AIR sono rilasciati con licenza CCO mentre i file delle pubblicazioni sono rilasciati con licenza CC BY-SA, salvo diversa indicazione. In caso di violazione di copyright, contattare l'assistenza di AIR
