40 citations · 246 across the 65 of their papers we have counts for
10 papers · 1 filter
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…
Stein variational gradient descent on infinite-dimensional space and applications to statistical inverse problems
Junxiong Jia, Peijun Li, Deyu Meng
In this paper, we propose an infinite-dimensional version of the Stein variational gradient descent (iSVGD) method for solving Bayesian inverse problems. The method can generate ap…
An adaptive finite element DtN method for the elastic wave scattering problem in three dimensions
Gang Bao, Peijun Li, Xiaokai Yuan
Consider the elastic scattering of an incident wave by a rigid obstacle in three dimensions, which is formulated as an exterior problem for the Navier equation. By constructing a D…
An inverse source problem for the stochastic wave equation
Xiaoli Feng, Meixia Zhao, Peijun Li +1
This paper is concerned with an inverse source problem for the stochastic wave equation driven by a fractional Brownian motion. Given the random source, the direct problem is to st…