2 papers
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.AP2025
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…