Potential reconstruction for a class of hyperbolic systems from incomplete measurements
Author
dc.contributor.author
Carreno, Nicolás
Author
dc.contributor.author
Morales, Roberto
Author
dc.contributor.author
Osses Alvarado, Axel
Admission date
dc.date.accessioned
2018-11-26T19:50:13Z
Available date
dc.date.available
2018-11-26T19:50:13Z
Publication date
dc.date.issued
2018-08
Cita de ítem
dc.identifier.citation
Inverse Problems Volumen: 34 Número: 8 Número de artículo: 085005
es_ES
Identifier
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10.1088/1361-6420/aac6a9
Identifier
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https://repositorio.uchile.cl/handle/2250/152914
Abstract
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In this article, we study the reconstruction of spatially dependent potentials in n coupled hyperbolic equations in cascade from n - 1 components of the solution of the system. More precisely, we prove local uniqueness and Lipschitz stability for this inverse problem. The main tool is a Carleman estimate for a cascade system with missing observations.