Araujo, Raul K.C.Fernández Cara, EnriqueAraujo de Souza, Diego2022-12-122022-12-122020-07-02Araujo, 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.2020.06.040.0022-03961090-2732https://hdl.handle.net/11441/140307In 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.application/pdf20 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Inverse problemsNonscalar elliptic systemsUnique continuationDomain variation techniquesReconstructionOn some geometric inverse problems for nonscalar elliptic systemsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jde.2020.06.040