Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Wang, Tianjiao, Xu, Xiang, Zhao, Yue
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416038378
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