12 papers
Uniqueness and stability for inverse potential scattering with multiple wavenumbers
Dong Qiu, Xiang Xu, Yue Zhao
This paper is concerned with the inverse scattering problem of determining a real-valued potential for the three-dimensional Schrödinger equation from multi-wavenumber data. Under…
Reconstruct the ambient noise source from the multi-frequency sparse correlation data
Hao Gu, Hongxia Guo, Xiang Xu +1
In this paper, we develop a novel multi-frequency factorization method to reconstruct the spatial support of the ambient noise source. The proposed method only requires sparse corr…
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…
Inverse acoustic scattering for random obstacles with multi-frequency data
Zhiqi Sun, Xiang Xu, Yiwen Lin
We study an inverse random obstacle scattering problems in where the scatterer is formulated by a Gaussian process defined on the angular parameter domain. Equipped…
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…
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…
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…
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…
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…
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…
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…
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…