2 papers
math.AP2025
An inverse problem for the Monge-Ampère equation
Tony Liimatainen, Yi-Hsuan Lin
We extend the study of inverse boundary value problems to the setting of fully nonlinear PDEs by considering an inverse source problem for the Monge-Ampère equation \[ \det D^2 u…
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 Ï\nabla)^s u = 0 \quad \text{in } Î…