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Potential reconstruction for a class of hyperbolic systems from incomplete measurements
| Indexado |
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| DOI | 10.1088/1361-6420/AAC6A9 | ||||
| Año | 2018 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
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.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | CARRENO-GODOY, NICOLAS | Hombre |
Universidad Técnica Federico Santa María - Chile
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| 2 | Morales, Roberto | Hombre |
Universidad de Chile - Chile
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| 3 | OSSES-ALVARADO, AXEL ESTEBAN | Hombre |
Universidad de Chile - Chile
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| Fuente |
|---|
| FONDECYT |
| CONICYT |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Consejo Nacional de Innovacion, Ciencia y Tecnologia |
| Fondo Nacional de Desarrollo Científico, Tecnológico y de Innovación Tecnológica |
| Fondo Nacional de Desarrollo CientÃfico, Tecnológico y de Innovación Tecnológica |
| CONICYT-Doctorado |
| Agradecimiento |
|---|
| The authors wish to express their gratitude to Sylvain Ervedoza for several helpful comments concerning the general problem and Carleman estimates. N C was supported by FONDECYT 3150089. R M was supported by CONICYT-Doctorado nacional 21150660. A O was partially supported by FONDECYT grant number 1151512. |
| The authors wish to express their gratitude to Sylvain Ervedoza for several helpful comments concerning the general problem and Carleman estimates. N C was supported by FONDECYT 3150089. R M was supported by CONICYT-Doctorado nacional 21150660. A O was partially supported by FONDECYT grant number 1151512. |
