Yi-Hsuan Lin

collaborators

4 papers

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 $- Δ_{\infty} u + q (x) u = 0$ in a bounded convex domain with $C^{2}$ boundary. We prove that a positive potential $q$ is uniquely determined a…

math.AP2026

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…

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 $L^{2} (0, T; H^{s} (Ω))$ for solutions of linear nonlocal wave equations. To achieve this, we…