We consider the inverse problem of determining point wave sources in heteregeneous 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.
@article{urn:eudml:doc:44494,
title = {Identifiability, stability and reconstruction results of point sources by boundary measurements in heteregeneous trees.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {16},
year = {2003},
pages = {151-178},
zbl = {1047.35133},
mrnumber = {MR2031880},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44494}
}
Nicaise, Serge; Zaïr, Ouahiba. Identifiability, stability and reconstruction results of point sources by boundary measurements in heteregeneous trees.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 151-178. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44494/