2 papers
math.SP2026
The Steklov Determinant and Compactness of Isospectral Planar Domains
Yujun Jin, Zuoqin Wang
We prove that every Steklov isospectral family of compact smooth planar domains is compact in the topology, answering an open question of Colbois, Girouard, Gordon, and…
math.SP2026
Steklov Spectral Geometry for Annular Surfaces: Inverse spectral results and isospectral compactness
Yujun Jin, Zuoqin Wang
We study the inverse spectral problems for the Steklov spectrum on compact surfaces with boundary. We prove that among flat annular surfaces, the lateral surface of a conical frust…