Identifiability, stability and reconstruction results of point sources by boundary measurements in heteregeneous trees.

Nicaise, Serge, and Zaïr, Ouahiba. "Identifiability, stability and reconstruction results of point sources by boundary measurements in heteregeneous trees.." Revista Matemática Complutense 16.1 (2003): 151-178. <http://eudml.org/doc/44494>.

@article{Nicaise2003,
abstract = {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.},
author = {Nicaise, Serge, Zaïr, Ouahiba},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones diferenciales elípticas; Problemas de valor de frontera; Análisis de estructuras; Estructuras flexibles; Problemas inversos; differential equations on networks and trees; determination of point wave sources; Neumann boundary observation; conditional stability; reconstructing scheme},
language = {eng},
number = {1},
pages = {151-178},
title = {Identifiability, stability and reconstruction results of point sources by boundary measurements in heteregeneous trees.},
url = {http://eudml.org/doc/44494},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Nicaise, Serge
AU - Zaïr, Ouahiba
TI - Identifiability, stability and reconstruction results of point sources by boundary measurements in heteregeneous trees.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 1
SP - 151
EP - 178
AB - 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.
LA - eng
KW - Ecuaciones diferenciales elípticas; Problemas de valor de frontera; Análisis de estructuras; Estructuras flexibles; Problemas inversos; differential equations on networks and trees; determination of point wave sources; Neumann boundary observation; conditional stability; reconstructing scheme
UR - http://eudml.org/doc/44494
ER -