Stable determination of a rigid scatterer in elastodynamics
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866910788569006080 |
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| author | Rondi, Luca Sincich, Eva SIni, Mourad |
| author_facet | Rondi, Luca Sincich, Eva SIni, Mourad |
| contents | We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer in the time-harmonic regime. We prove a local stability estimate of log log type for the identification of a scatterer by a single far-field measurement. The needed a priori condition on the closeness of the scatterers is estimated by the universal constant appearing in the Friedrichs inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_06864 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Stable determination of a rigid scatterer in elastodynamics Rondi, Luca Sincich, Eva SIni, Mourad Analysis of PDEs 35R30 We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer in the time-harmonic regime. We prove a local stability estimate of log log type for the identification of a scatterer by a single far-field measurement. The needed a priori condition on the closeness of the scatterers is estimated by the universal constant appearing in the Friedrichs inequality. |
| title | Stable determination of a rigid scatterer in elastodynamics |
| topic | Analysis of PDEs 35R30 |
| url | https://arxiv.org/abs/2007.06864 |