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

Serge NicaiseOuahiba Zaïr — 2003

Revista Matemática Complutense

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.

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