30 citations · 66 across the 16 of their papers we have counts for
5 papers · 1 filter
A partial inverse problem for the Sturm-Liouville operator on the graph with a loop
Chuan-Fu Yang, Natalia P. Bondarenko
The Sturm-Liouville operator with singular potentials on the lasso graph is considered. We suppose that the potential is known a priori on the boundary edge, and recover the potent…
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…