activity
20232026
most citedDetermining both leading coefficient and source in a nonlocal elliptic equation

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.AP2026

The anisotropic Calderón problem: rigidity near the Euclidean metric

Yi-Hsuan Lin

We prove rigidity near the Euclidean metric for the anisotropic Calderón problem on smooth bounded connected domains in dimensions three and higher. Any smooth Riemannian metric su…

math.AP2026

The Calderón problem for the infinity Laplacian with large affine boundary data

Yi-Hsuan Lin

We study the Calderón problem for the equation in a bounded convex domain with boundary. We prove that a positive potential is uniquely determined a…

math.AP2026

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation

Yi-Hsuan Lin

We prove uniqueness for an inverse boundary problem for the prescribed Gaussian curvature equation on a smooth bounded simply connected planar do…

math.AP2024

The Calderón problem for the Schrödinger equation in transversally anisotropic geometries with partial data

Yi-Hsuan Lin, Gen Nakamura, Philipp Zimmermann

We study the partial data Calderón problem for the anisotropic Schrödinger equation \begin{equation} \label{eq: a1} (-Δ_{\widetilde{g}}+V)u=0\text{ in }Ω\times (0,\infty), \end{equ…

math.AP2024

Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities

Yi-Hsuan Lin, Teemu Tyni, Philipp Zimmermann

The main purpose of this article is to establish the Runge-type approximation in for solutions of linear nonlocal wave equations. To achieve this, we…

math.AP2024

Approximation and uniqueness results for the nonlocal diffuse optical tomography problem

Yi-Hsuan Lin, Philipp Zimmermann

We investigate the inverse problem of recovering the diffusion and absorption coefficients in the nonlocal diffuse optical tomography equation $(-\text{div}( σ\nabla))^s u+…

math.AP2023★ 1 cited

Determining both leading coefficient and source in a nonlocal elliptic equation

Yi-Hsuan Lin

In this short note, we investigate an inverse source problem associated with a nonlocal elliptic equation that is given in a bounded o…