Inverse random source problem for Maxwell equations in an inhomogeneous medium
Analysis of PDEs
2025-03-14 v1
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.
Cite
@article{arxiv.2503.10119,
title = {Inverse random source problem for Maxwell equations in an inhomogeneous medium},
author = {Tianjiao Wang and Xiang Xu and Yue Zhao},
journal= {arXiv preprint arXiv:2503.10119},
year = {2025}
}