Identifiability, Stability, and Reconstruction Results of Point Sources by Boundary Measurements in Heterogeneous Trees
Université de Valenciennes et du Hainaut Cambrésis MACS, ISTV F-59313 - Valenciennes Cedex 9 — France | Université des Sciences et de la Technologie H. Boumediene
Institut de Mathématiques |
We consider the inverse problem of determining point wave sources in heterogeneous trees, extensions of one-dimensional stratified sets. We show that the Neumann boundary observation on a part of the lateral boundary determines uniquely the point sources if the time of observation is large enough. We further establish a conditional stability and give a reconstructing scheme.
Key words: inverse problem.
2000 Mathematics Subject Classification: 35R30, 35J25.