Artículo
On some geometric inverse problems for nonscalar elliptic systems
Autor/es | Araujo, Raul K.C.
Fernández Cara, Enrique Araujo de Souza, Diego |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2020-07-02 |
Fecha de depósito | 2022-12-12 |
Publicado en |
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Resumen | In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove
uniqueness and stability results. In particular, we show the way that the observation depends on the perturbations of the ... In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability results. In particular, we show the way that the observation depends on the perturbations of the domain. In some particular situations, this provides a strategy that could be used to compute approximations to the solution of the inverse problem. In the proofs, we use techniques related to (local) Carleman estimates and differentiation with respect to the domain. |
Cita | Araujo, R.K.C., Fernández Cara, E. y Araujo de Souza, D. (2020). On some geometric inverse problems for nonscalar elliptic systems. Journal of Differential Equations, 269 (11), 9123-9143. https://doi.org/10.1016/j.jde.2020.06.040. |
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