2025/06/25 by Chung‐Tsun Shieh, Shieh, Chung-Tsun, Tzong‐Mo Tsai +3 · 1 citation
Mathematics · #Spectral Theory in Mathematical Physics #Differential Equations and Boundary Problems #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.2506.20569
This paper is devoted to the study of a partial inverse spectral problem for Sturm-Liouville operators with frozen arguments on a star-shaped graph. The potentials are assumed to be known a priori on all edges except one, and the objective is to reconstruct the unknown potential on the remaining edge using a subset of the spectral data. A constructive algorithm for solving this problem is presented, which relies on the Riesz basis property of a system of vector functions.