5 papers · 1 filter
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…
Unique Determination of Variable Order in Subdiffusion from a Single Measurement
Jiho Hong, Bangti Jin, Yavar Kian
We study the inverse problem of recovering a spatially dependent variable order in a time-fractional diffusion model from the boundary flux measurement generated by a single bounda…
Simultaneous Identification of Coefficients and Source in a Subdiffusion Equation from One Passive Measurement
Maolin Deng, Ali Feizmohammadi, Bangti Jin +1
This article is devoted to the detection of parameters in anomalous diffusion from a single passive measurement. More precisely, we consider the simultaneous identification of coef…
Stable Determination and Reconstruction of a Quasilinear Term in an Elliptic Equation
Jason Choy, Maolin Deng, Bangti Jin +1
In this work, we investigate the inverse problem of determining a quasilinear term appearing in a nonlinear elliptic equation from the measurement of the conormal derivative on the…