30 citations · 74 across the 10 of their papers we have counts for
10 papers
Direct and inverse spectral problems for the Schrodinger operator with double generalized Regge boundary conditions
Xiao-Chuan Xu, Yu-Ting Huang
In this paper, we study the direct and inverse spectral problems for the Schrodinger operator with two generalized Regge boundary conditions. For the direct problem, we give the pr…
An inverse problem for the matrix Schrodinger operator on the half-line with a general boundary condition
Xiao-Chuan Xu, Yi-Jun Pan
In this work, we study the inverse spectral problem, using the Weyl matrix as the input data, for the matrix Schrodinger operator on the half-line with the boundary condition being…
On the local solvability and stability of the partial inverse problems for the non-self-adjoint Sturm-Liouville operators with a discontinuity
Xiao-Chuan Xu, Chuan-Fu Yang, Natalia Pavlovna Bondarenko
In this work, we study the inverse spectral problems for the Sturm-Liouville operators on [0,1] with complex coefficients and a discontinuity at . Assume that the pote…
Local solvability and stability of the generalized inverse Robin-Regge problem with complex coefficients
Xiao-Chuan Xu, Natalia Pavlovna Bondarenko
We prove local solvability and stability of the inverse Robin-Regge problem in the general case, taking eigenvalue multiplicities into account. We develop the new approach based on…
An inverse problem to determine the shape of a human vocal tract
Tuncay Aktosun, Paul Sacks, Xiao-Chuan Xu
The inverse problem of determining the cross-sectional area of a human vocal tract during the utterance of a vowel is considered. The frequency-dependent boundary condition at the…
On the direct and inverse transmission eigenvalue problems for the Schrodinger operator on the half line
Xiao-Chuan Xu
For the direct problem, we give the asymptotic distribution of the (real and non-real) transmission eigenvalues for the Schrodinger operator on the half line. For the inverse probl…
Determination of matrix potential from scattering matrix
Xiao-Chuan Xu, Chuan-Fu Yang
(i) For the matrix Schrödinger operator on the half line, it is shown that if the potential exponentially decreases fast enough then only the scattering matrix uniquely determines…
Inverse spectral problems for the Sturm-Liouville operator with discontinuity
Xiao-Chuan Xu, Chuan-Fu Yang
In this work, we consider the Sturm-Liouville operator on a finite interval with discontinuous conditions at . We prove that if the potential is known a priori on a su…
Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem
Xiao-Chuan Xu, Chuan-Fu Yang, Sergey A. Buterin +1
This work deals with the interior transmission eigenvalue problem: with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{\s…
Inverse resonance problems for the Schroedinger operator on the real line with mixed given data
Xiao-Chuan Xu, Chuan-Fu Yang
In this work, we study inverse resonance problems for the Schrödinger operator on the real line with the potential supported in . In general, all eigenvalues and resonances…