3 papers
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…
math.CA2025
A novel and application-oriented inverse nodal problem for Sturm-Liouville operators
Yuchao He, Mengda Wu, Yonghui Xia +1
This paper develops a methodological framework for addressing a novel and application-oriented inverse nodal problem in Sturm-Liouville operators, having significant applications i…
math.AP2024
Variational formulation for stratified steady water wave in two-layer flows
Yuchao He, Yonghui Xia, Zhe Zhou
In this paper, the variational formulation for steady periodic stratified water waves in two-layer flows is given. The critical points of a natural energy functional is proved to b…