3 papers
math-ph2026
Reconstruction methods for inverse scattering problems with phaseless data
John C. Schotland, Shenwen Yu
We investigate phaseless inverse scattering problem for the Schrödinger equation and develop reconstruction methods based on the inverse Born series (IBS). We consider three types…
math.NA2026
Inverse Scattering for Dirac Equations Arising in Waveguide Arrays
John C. Schotland, Shenwen Yu
We investigate inverse scattering problems for Dirac equations that arise as continuum models of waveguide arrays. We first establish the well-posedness of the forward models. For…
math.NA2025
Optimal-Transport Stability of Inverse Point-Source Problems for Elliptic and Parabolic Equations
Lingyun Qiu, Shenwen Yu
We establish quantitative global stability estimates, formulated in terms of optimal transport (OT) cost, for inverse point-source problems governed by elliptic and parabolic equat…