Inverse random source problem for Maxwell equations in an inhomogeneous medium
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915195512684544 |
|---|---|
| author | Wang, Tianjiao Xu, Xiang Zhao, Yue |
| author_facet | Wang, Tianjiao Xu, Xiang Zhao, Yue |
| contents | This paper concerns the inverse random source problem of the stochastic Maxwell equations driven by white noise in an inhomogeneous background medium. The well-posedness is established for the direct source problem, and the estimates and regularity of the solution are obtained. A logarithmic stability estimate is established for the inverse problem of determining the strength of the random source. The analysis only requires the random Dirichlet data at a fixed frequency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10119 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse random source problem for Maxwell equations in an inhomogeneous medium Wang, Tianjiao Xu, Xiang Zhao, Yue Analysis of PDEs This paper concerns the inverse random source problem of the stochastic Maxwell equations driven by white noise in an inhomogeneous background medium. The well-posedness is established for the direct source problem, and the estimates and regularity of the solution are obtained. A logarithmic stability estimate is established for the inverse problem of determining the strength of the random source. The analysis only requires the random Dirichlet data at a fixed frequency. |
| title | Inverse random source problem for Maxwell equations in an inhomogeneous medium |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.10119 |