Increasing stability for inverse acoustic source problems
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913573607833600 |
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| author | Si, Suliang |
| author_facet | Si, Suliang |
| contents | In this paper, we show the increasing stability of the inverse source problems for the acoustic wave equation in the full space R3.The goal is to understand increasing stability for wave equation in the time domain. If the time and spatial variables of the source term can be separated with compact support, the increasing stability estimates of the $L^2$-norm of the acoustic source function can be established. The stability estimates consist of two parts: the Lipschitz type data discrepancy and the high time tail of the source functions. As the time increases, the latter decreases and thus becomes negligible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04599 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Increasing stability for inverse acoustic source problems Si, Suliang Analysis of PDEs 38R30 In this paper, we show the increasing stability of the inverse source problems for the acoustic wave equation in the full space R3.The goal is to understand increasing stability for wave equation in the time domain. If the time and spatial variables of the source term can be separated with compact support, the increasing stability estimates of the $L^2$-norm of the acoustic source function can be established. The stability estimates consist of two parts: the Lipschitz type data discrepancy and the high time tail of the source functions. As the time increases, the latter decreases and thus becomes negligible. |
| title | Increasing stability for inverse acoustic source problems |
| topic | Analysis of PDEs 38R30 |
| url | https://arxiv.org/abs/2411.04599 |