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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.NA2025

A computational inverse random source problem for elastic waves

Hao Gu, Tianjiao Wang, Xiang Xu +1

This paper investigates the inverse random source problem for elastic waves in three dimensions, where the source is assumed to be driven by an additive white noise. A novel comput…

math.AP2025

Uniqueness Result For Semi-linear Wave Equations With Sources

Dong Qiu, Xiang Xu, Yeqiong Ye +1

This paper addresses the inverse problem of simultaneously recovering multiple unknown parameters for semilinear wave equations from boundary measurements. We consider an initial-b…

math.NA2025

PML method for the stochastic acoustic scattering problem driven by an additive Gaussian noise

Hongxia Guo, Tianjiao Wang, Xiang Xu +1

This paper is concerned with the time-domain stochastic acoustic scattering problem driven by a spatially white additive Gaussian noise. The main contributions of the work are twof…

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…