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math.AP2026

Gauge symmetry and uniqueness in inverse problems for the JMGT equation

Dong Qiu, Xiang Xu, Yeqiong Ye +1

In this paper, we study an inverse boundary value problem for the Jordan--Moore--Gibson--Thompson equation on a simple Riemannian manifold. We consider an all boundary measurement…

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…

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.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…