2 papers
math.DG2026
Gel'fand's inverse problem under Ricci curvature bounds
Shouhei Honda, Jinpeng Lu
The classical Gel'fand's inverse problem asks whether a Riemannian manifold is uniquely determined by the knowledge of the heat kernel on any open subset of the manifold. We study…
math.AP2025
Stability of Gel'fand's inverse interior spectral problem for Schrödinger operators
Jinpeng Lu
We study Gel'fand's inverse interior spectral problem of determining a closed Riemannian manifold and a potential function from the knowledge of the eigenvalues …