30 citations · 30 across the 4 of their papers we have counts for
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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 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…