Increasing stability in the n-dimensional inverse source problem with multi-frequencies
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929256516288512 |
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| author | Si, Suliang |
| author_facet | Si, Suliang |
| contents | In this paper, we show for the first time the increasing stability of the inverse source problem for the n-dimensional Helmholtz equation at multiple wave numbers, which is different from the two-or three-dimensional Helmholtz equation. In addition, we develop a new, unified approach to study increasing stability in any dimension. The method is based on the Fourier transform and explicit bounds for analytic continuation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15976 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Increasing stability in the n-dimensional inverse source problem with multi-frequencies Si, Suliang Analysis of PDEs 35R30, 78A46 In this paper, we show for the first time the increasing stability of the inverse source problem for the n-dimensional Helmholtz equation at multiple wave numbers, which is different from the two-or three-dimensional Helmholtz equation. In addition, we develop a new, unified approach to study increasing stability in any dimension. The method is based on the Fourier transform and explicit bounds for analytic continuation. |
| title | Increasing stability in the n-dimensional inverse source problem with multi-frequencies |
| topic | Analysis of PDEs 35R30, 78A46 |
| url | https://arxiv.org/abs/2402.15976 |