40 citations · 246 across the 65 of their papers we have counts for
37 papers · 1 filter
Stability for inverse source problems of the stochastic Helmholtz equation with a white noise
Peijun Li, Ying Liang
This paper is concerned with the stability estimates for inverse source problems of the stochastic Helmholtz equation driven by white noise. The well-posedness is established for t…
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…
Inverse source problems for the stochastic wave equations: far-field patterns
Jianliang Li, Peijun Li, Xu Wang
This paper addresses the direct and inverse source problems for the stochastic acoustic, biharmonic, electromagnetic, and elastic wave equations in a unified framework. The driven…
Stability for the multi-dimensional Borg--Levinson theorem of the biharmonic operator
Peijun Li, Xiaohua Yao, Yue Zhao
In this paper, we prove a conditional Hölder stability estimate for the inverse spectral problem of the biharmonic operator. The proof employs the resolvent estimate and a Weyl-typ…
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…
Direct and inverse problems for the Schrödinger operator in a three-dimensional planar waveguide
Peijun Li, Xiaohua Yao, Yue Zhao
In this paper, we study the meromorphic continuation of the resolvent for the Schrödinger operator in a three-dimensional planar waveguide. We prove the existence of a resonance-fr…
Stability for an inverse source problem of the damped biharmonic plate equation
Peijun Li, Xiaohua Yao, Yue Zhao
This paper is concerned with the stability of the inverse source problem for the damped biharmonic plate equation in three dimensions. The stability estimate consists of the Lipsch…
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…
Stability for an inverse source problem of the biharmonic operator
Peijun Li, Xiaohua Yao, Yue Zhao
In this paper, we study for the first time the stability of the inverse source problem for the biharmonic operator with a compactly supported potential in . Firstly, t…
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…
Regularity of distributional solutions to stochastic acoustic and elastic scattering problems
Peijun Li, Xu Wang
This paper is concerned with the well-posedness and regularity of the distributional solutions for the stochastic acoustic and elastic scattering problems. We show that the regular…
Lipschitz stability for an inverse source scattering problem at a fixed frequency
Peijun Li, Jian Zhai, Yue Zhao
This paper is concerned with an inverse source problem for the three-dimensional Helmholtz equation by a single boundary measurement at a fixed frequency. We show the Lipschitz sta…
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 scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed
Sophia Bugarija, Peter C. Gibson, Guanghui Hu +2
This paper analyzes inverse scattering for the one-dimensional Helmholtz equation in the case where the wave speed is piecewise constant. Scattering data recorded for an arbitraril…
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…
Elastic scattering from rough surfaces in three dimensions
Guanghui Hu, Peijun Li, Yue Zhao
Consider the elastic scattering of a plane or point incident wave by an unbounded and rigid rough surface. The angular spectrum representation (ASR) for the time-harmonic Navier eq…
Inverse Elastic Scattering for a Random Source
Jianliang Li, Peijun Li
Consider the inverse random source scattering problem for the two-dimensional time-harmonic elastic wave equation with an inhomogeneous, anisotropic mass density. The source is mod…
Inverse moving source problems in electrodynamics
Guanghui Hu, Yavar Kian, Peijun Li +1
This paper is concerned with the uniqueness on two inverse moving source problems in electrodynamics with partial boundary data. We show that (1) if the temporal source function is…
Inverse obstacle scattering problem for elastic waves with phased or phaseless far-field data
Heping Dong, Jun Lai, Peijun Li
This paper concerns an inverse elastic scattering problem which is to determine the location and the shape of a rigid obstacle from the phased or phaseless far-field data for a sin…
Inverse obstacle scattering for Maxwell's equations in an unbounded structure
Peijun Li, Jue Wang, Lei Zhang
This paper is concerned with analysis of electromagnetic wave scattering by an obstacle which is embedded in a two-layered lossy medium separated by an unbounded rough surface. Giv…
Analysis of transient acoustic scattering by an elastic obstacle
Peijun Li, Lei Zhang
Consider the scattering of an acoustic plane wave by a bounded elastic obstacle which is immersed in an open space filled with a homogeneous medium. This paper concerns the mathema…