59 citations · 416 across the 90 of their papers we have counts for
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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…
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…
Stability Estimates for the Inverse Problem of Reconstructing Point sources in Parabolic Equations
Kuang Huang, Bangti Jin, Yavar Kian +1
In this work, we investigate the stability issue of the inverse problem of determining the locations and time-dependent amplitudes of point sources in a parabolic equation with a n…