7 papers
Anderson localization in periodic elastic systems with random perturbations
Xin Feng, Peijun Li, Wei Wu
This paper investigates Anderson localization in subwavelength elastic periodic systems with random perturbations. For the unperturbed system, we use layer potential techniques to…
An inverse random source problem for the fractional Helmholtz equation
Peijun Li, Zhenqian Li
This paper investigates an inverse random source problem for the stochastic fractional Helmholtz equation. The source is modeled as a centered, complex-valued, microlocally isotrop…
Stochastic integral representations for the Ray-Knight theorem of the Levy forest
Pei-Sen Li, Zenghu Li, Wenjing Zhang
We present a simple stochastic integral representation for the local times of the height process of a spectrally positive Levy process stopped at a hitting time. From the represent…
Stability for inverse random source problems of the polyharmonic wave equation
Peijun Li, Zhenqian Li, Ying Liang
This paper investigates stability estimates for inverse source problems in the stochastic polyharmonic wave equation, where the source is represented by white noise. The study exam…
Stability estimates of inverse random source problems for the wave equations by using correlation-based data
Peijun Li, Ying Liang, Xu Wang
This paper focuses on stability estimates of the inverse random source problems for the polyharmonic, electromagnetic, and elastic wave equations. The source is represented as a mi…
Inverse random potential scattering for the polyharmonic wave equation using far-field patterns
Jianliang Li, Peijun Li, Xu Wang +1
This paper addresses the inverse scattering problem of a random potential associated with the polyharmonic wave equation in two and three dimensions. The random potential is repres…
An inverse source problem for the stochastic multi-term time-fractional diffusion-wave equation
Xiaoli Feng, Qiang Yao, Peijun Li +1
In this paper, we study both the direct and inverse random source problems associated with the multi-term time-fractional diffusion-wave equation driven by a fractional Brownian mo…