49 citations · 165 across the 14 of their papers we have counts for
14 papers
Transparent scatterers and transmission eigenvalues
P. G. Grinevich, R. G. Novikov
{We give a short review of old and recent results on scatterers with transmission eigenvalues of infinite multiplicity, including transparent scatterers. Historically, these studie…
Transmission eigenvalues for multipoint scatterers
P. G. Grinevich, R. G. Novikov
We study the transmission eigenvalues for the multipoint scatterers of the Bethe-Peierls-Fermi-Zeldovich-Beresin-Faddeev type in dimensions and . We show that for these…
Creation and annihilation of point-potentials using Moutard-type transform in spectral variable
P. G. Grinevich, R. G. Novikov
We continue to develop the method for creation and annihilation of contour singularities in the --spectral data for the two-dimensional Schrödinger equation at fixed…
Moutard transform for the conductivity equation
P. G. Grinevich, R. G. Novikov
We construct Darboux-Moutard type transforms for the two-dimensional conductivity equation. This result continues our recent studies of Darboux-Moutard type transforms for generali…
Moutard transform approach to generalized analytic functions with contour poles
P. G. Grinevich, R. G. Novikov
We continue studies of Moutard-type transforms for the generalized analytic functions started in arXiv:1510.08764, arXiv:1512.00343. In particular, we show that generalized analyti…
Generalized analytic functions, Moutard-type transforms and holomorphic maps
P. G. Grinevich, R. G. Novikov
We continue the studies of Moutard-type transform for generalized analytic functions started in our previous paper: arXiv:1510.08764. In particular, we suggest an interpretation of…