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math.AP2026
Finite-data inverse nodal optimization in angular-momentum sectors of Schrödinger operators
Xijun Deng, Zhisu Liu, Yonghui Xia
In this paper, we study a finite-data inverse nodal optimization problem for radial Schrödinger operators in an arbitrary fixed angular-momentum sector. The analysis is built direc…
math.AP2026
Finite inverse nodal problems for singular weighted Sturm--Liouville equations: variational selection and spectral matching
Zhibo Cheng, Yuchao He, Sunan Wang +1
The recent work \cite{HeWuXiaZhang2025} introduced a finite-data inverse nodal framework for regular one-dimensional Sturm-Liouville operators. Nevertheless, formulating a multidim…
math.CA2026
A dynamical system framework yielding quantitative inverse spectral results for Sturm-Liouville operators
Yuchao He, Yonghui Xia, Meirong Zhang
This paper establishes a dynamical-system framework that yields quantitative results for the inverse optimal spectral problem of reconstructing a potential from finite ob…