59 citations · 416 across the 90 of their papers we have counts for
104 papers
Simultaneous recovery of various time-dependent coefficients in a hyperbolic equation with space-time nonlocal attenuation
Yavar Kian, Gunther Uhlmann
This article is devoted to the inverse problem of uniquely determining different classes of coefficients in a hyperbolic equation with space-time nonlocal attenuation from a local…
Inverse coefficient problem for the wave equation with nonlocal attenuation
Yavar Kian, Zouhour Rezig, Gunther Uhlmann
In this article, we investigate the inverse problem of determining time-dependent first- and zeroth-order coefficients for a wave equation with nonlocal-in-time attenuation on a Ri…
Stability and Reconstruction of a Nonlinearity in a Parabolic Equation from Partial Boundary Data
Jason Choy, Maolin Deng, Bangti Jin +1
In this work, we investigate the inverse problem of determining a semilinear term in a nonlinear parabolic equation from one single boundary flux measurement taken on an arbitrary…
Recovery of a Measure-valued Source in the Heat Equation from Sparse Boundary Measurements
Ulysse Dalmasso, Siyu Cen, Yavar Kian
This article is devoted to the inverse source problem of uniquely determining a measure-valued source from sparse boundary measurements. The measurements considered consist of flux…
Numerical Analysis of Space-Time Dependent Source Identification in Subdiffusion Equations
Siyu Cen, Bangti Jin, Yavar Kian +1
In this work, we propose an easy-to-implement fixed-point algorithm for reconstructing a space-time dependent source in a subdiffusion model from lateral boundary measurements. The…
Identification of a Point Source in the Heat Equation from Sparse Boundary Measurements
Fangyu Gong, Bangti Jin, Yavar Kian +1
In this work we investigate the inverse problem of recovering one point source in the heat equation from sparse boundary measurement, i.e., the flux data at several points on the b…