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math.AP2026
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…
math.AP2024
Inverse Coefficient Problem for One-Dimensional Subdiffusion with Data on Disjoint Sets in Time
Siyu Cen, Bangti Jin, Yavar Kian +3
In this work we investigate an inverse coefficient problem for the one-dimensional subdiffusion model, which involves a Caputo fractional derivative in time. The inverse problem is…