12 papers
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…
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…
Inverse problem for the geometric Navier-Stokes equations
Yavar Kian, Lauri Oksanen, Ziyao Zhao
We consider the inverse problem of determining a compact Riemannian manifold with boundary from fixed time observations of the solution, restricted to a small subset in space, for…