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arXiv · 2503.10119

Inverse random source problem for Maxwell equations in an inhomogeneous medium

Tianjiao Wang·Xiang Xu·Yue Zhao
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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.

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Tianjiao Wang, Xiang Xu, Yue Zhao. 2025-03-13. Inverse random source problem for Maxwell equations in an inhomogeneous medium. https://arxiv.org/abs/2503.10119

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