On some geometric inverse problems for nonscalar elliptic systems

Araujo, Raul K.C.; Fernández Cara, Enrique; Araujo de Souza, Diego

doi:10.1016/j.jde.2020.06.040

Artículo

dc.creator	Araujo, Raul K.C.	es
dc.creator	Fernández Cara, Enrique	es
dc.creator	Araujo de Souza, Diego	es
dc.date.accessioned	2022-12-12T09:55:44Z
dc.date.available	2022-12-12T09:55:44Z
dc.date.issued	2020-07-02
dc.identifier.citation	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.
dc.identifier.issn	0022-0396	es
dc.identifier.issn	1090-2732	es
dc.identifier.uri	https://hdl.handle.net/11441/140307
dc.description.abstract	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.	es
dc.format	application/pdf	es
dc.format.extent	20 p.	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Differential Equations, 269 (11), 9123-9143.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Inverse problems	es
dc.subject	Nonscalar elliptic systems	es
dc.subject	Unique continuation	es
dc.subject	Domain variation techniques	es
dc.subject	Reconstruction	es
dc.title	On some geometric inverse problems for nonscalar elliptic systems	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.publisherversion	https://doi.org/10.1016/j.jde.2020.06.040	es
dc.identifier.doi	10.1016/j.jde.2020.06.040	es
dc.contributor.group	Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software	es
dc.journaltitle	Journal of Differential Equations	es
dc.publication.volumen	269	es
dc.publication.issue	11	es
dc.publication.initialPage	9123	es
dc.publication.endPage	9143	es

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