122 citations · 452 across the 56 of their papers we have counts for
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Designing lasing and perfectly absorbing potentials
Vladimir V. Konotop, Evgeny Lakshtanov, Boris Vainberg
Existence of a spectral singularity (SS) in the spectrum of {a Schrödinger operator with} a non-Hermitian potential requires exact matching of parameters of the potential. We provi…
Population dynamics with moderate tails of the underlying random walk
S. Molchanov, B. Vainberg
Symmetric random walks in and are considered. It is assumed that the jump distribution density has moderate tails, i.e., several density moments are finite, including t…
Dispersive and effective properties of two-dimensional periodic media
Yuri A. Godin, Boris Vainberg
We consider transverse propagation of electromagnetic waves through a two-dimensional composite material containing a periodic rectangular array of circular cylinders. Propagation…
Global solution of the initial value problem for the focusing Davey-Stewartson II system
Evgeny Lakshtanov, Boris Vainberg
We consider the two dimensional focusing Davey-Stewartson II system and construct the global solution of the Cauchy problem for a dense in set of initial data. We…