2 papers
math.AP2025
An inverse problem for the Monge-Ampère equation
Tony Liimatainen, Yi-Hsuan Lin
We prove uniqueness for an inverse source problem for the Monge--Ampère equation on a bounded uniformly convex planar domain. The source is smooth and strictly positi…
math.AP2025
Monotonicity and local uniqueness for an isotropic nonlocal elliptic equation
Yi-Hsuan Lin
We extend monotonicity-based inversion methods to an inverse coefficient problem for the isotropic nonlocal elliptic equation \[ (-\nabla \cdot σ\nabla)^s u = 0 \quad \text{in } Ω\…