6 papers · 1 filter
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…
Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation
Yi-Hsuan Lin
We prove a uniqueness result for an inverse boundary problem associated with the prescribed Gaussian curvature equation \[ \det D^2u=K(x)(1+|\nabla u|^2)^2 \] for graphs over a pla…
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…
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…
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+…
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…