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math.AP2025

Stability for the inverse random potential scattering problem

Tianjiao Wang, Xiang Xu, Yue Zhao

This paper is concerned with an inverse random potential problem for the Schrödinger equation. The random potential is assumed to be a generalized Gaussian random function, whose c…

math.AP2025

Inverse random source problem for Maxwell equations in an inhomogeneous medium

Tianjiao Wang, Xiang Xu, Yue Zhao

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 establi…

math.AP2024

Stability for an inverse random source problem of the biharmonic Schrodinger equation

Tianjiao Wang, Xiang Xu, Yue Zhao

In this paper, we study the inverse random source scattering problem for the biharmonic Schrodinger equation in two and three dimensions. The driven source is assumed to be a gener…

math.AP2024

Stability for a multi-frequency inverse random source problem

Tianjiao Wang, Xiang Xu, Yue Zhao

We present stability estimates for the inverse source problem of the stochastic Helmholtz equation in two and three dimensions by either near-field or far-field data. The random so…

math.AP2024

Time-harmonic elastic scattering by unbounded deterministic and random rough surfaces in three dimensions

Guanghui Hu, Tianjiao Wang, Xiang Xu +1

In this paper, we investigate well-posedness of time-harmonic scattering of elastic waves by unbounded rigid rough surfaces in three dimensions. The elastic scattering is caused by…