117 citations · 205 across the 8 of their papers we have counts for
8 papers
Uniqueness for fractional nonsymmetric diffusion equations and an application to an inverse source problem
Daijun Jiang, Zhiyuan Li, Matthieu Pauron +1
In this paper, we discuss the uniqueness for solution to time-fractional diffusion equation with the homogeneous Dirichlet boundary condition, where an…
Convergence Rates of Tikhonov Regularizations for Elliptic and Parabolic Inverse Radiativity Problems
De-Han Chen, Daijun Jiang, Jun Zou
We shall study in this paper the Lipschitz type stabilities and convergence rates of Tikhonov regularization for the recovery of the radiativities in elliptic and parabolic systems…
Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
Daijun Jiang, Yikan Liu, Dongling Wang
In this article, we are concerned with the analysis on the numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. This ill-po…
Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
Daijun Jiang, Zhiyuan Li, Yikan Liu +1
In this paper, we first establish a weak unique continuation property for time-fractional diffusion-advection equations. The proof is mainly based on the Laplace transform and the…
Local Lipschitz Stability for Inverse Robin Problems in Some Elliptic and Parabolic Systems
Jiang Daijun, Zou Jun
In this work, we shall study the nonlinear inverse problems of recovering the Robin coefficients in elliptic and parabolic systems of second order, and establish their local Lipsch…
Theoretical stability and numerical reconstruction for an inverse source problem for hyperbolic equations
Daijun Jiang, Yikan Liu, Masahiro Yamamoto
In this paper, we investigate the inverse problem on determining the spatial component of the source term in a hyperbolic equation with time-dependent principal part. Based on a ne…