40 citations · 129 across the 23 of their papers we have counts for
9 papers · 1 filter
An inverse potential problem for the stochastic diffusion equation with a multiplicative white noise
Xiaoli Feng, Peijun Li, Xu Wang
This work concerns the direct and inverse potential problems for the stochastic diffusion equation driven by a multiplicative time-dependent white noise. The direct problem is to e…
Inverse scattering for the biharmonic wave equation with a random potential
Peijun Li, Xu Wang
We consider the inverse random potential scattering problem for the two- and three-dimensional biharmonic wave equation in lossy media. The potential is assumed to be a microlocall…
An inverse random source problem for the biharmonic wave equation
Peijun Li, Xu Wang
This paper is concerned with an inverse source problem for the stochastic biharmonic operator wave equation. The driven source is assumed to be a microlocally isotropic Gaussian ra…
Inverse random potential scattering for elastic waves
Jianliang Li, Peijun Li, Xu Wang
This paper is concerned with the inverse elastic scattering problem for a random potential in three dimensions. Interpreted as a distribution, the potential is assumed to be a micr…
Analysis of the time-domain PML problem for Maxwell's equations in a waveguide
Yanli Chen, Peijun Li, Xu Wang
This paper is concerned with the mathematical analysis of the time-domain electromagnetic scattering problem in an infinite rectangular waveguide. A transparent boundary condition…
Inverse Elastic Scattering for a Random Potential
Jianliang Li, Peijun Li, Xu Wang
This paper is concerned with an inverse scattering problem for the time-harmonic elastic wave equation with a random potential. Interpreted as a distribution, the potential is assu…
An inverse random source problem for Maxwell's equations
Peijun Li, Xu Wang
This paper is concerned with an inverse random source problem for the three-dimensional time-harmonic Maxwell equations. The source is assumed to be a centered complex-valued Gauss…
Inverse random source scattering for the Helmholtz equation with attenuation
Peijun Li, Xu Wang
In this paper, a new model is proposed for the inverse random source scattering problem of the Helmholtz equation with attenuation. The source is assumed to be driven by a fraction…
An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion
Xiaoli Feng, Peijun Li, Xu Wang
This paper is concerned with the mathematical analysis of the inverse random source problem for the time fractional diffusion equation, where the source is assumed to be driven by…