S. Buterin

most citedOn a regularization approach to the inverse transmission eigenvalue problem

21 citations · 41 across the 2 of their papers we have counts for

collaborators

2 papers

math.SP2020★ 21 cited

On a regularization approach to the inverse transmission eigenvalue problem

S. A. Buterin, A. E. Choque-Rivero, M. A. Kuznetsova

We consider the irregular (in the Birkhoff and even the Stone sense) transmission eigenvalue problem of the form $- y^{''} + q (x) y = ρ^{2} y,$ $y (0) = y (1) cos ρ a - y^{'} (1) ρ^{- 1} sin ρ a = 0.$ The main…

math.SP2017★ 20 cited

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: $y^{''} + k^{2} η (r) y = 0$ with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{\s…