On some geometric inverse problems for nonscalar elliptic systems
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...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2020 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/140307 |
| Acesso em linha: | https://hdl.handle.net/11441/140307 https://doi.org/10.1016/j.jde.2020.06.040 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Inverse problems Nonscalar elliptic systems Unique continuation Domain variation techniques Reconstruction |
| Resumo: | 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. |
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