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

Academic Article
Publication Date:
2006
Citation:
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.
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.
IRIS type:
01 - Articolo su periodico
Keywords:
Carleman estimate; Hyperbolic integro-differential equation; Inverse source problem; Stability estimate
List of contributors:
C. Cavaterra, A. Lorenzi, M. Yamamoto
Authors of the University:
CAVATERRA CECILIA ( author )
Link to information sheet:
https://air.unimi.it/handle/2434/24644

Research Areas

Concepts


Settore MAT/05 - Analisi Matematica