122 citations · 452 across the 56 of their papers we have counts for
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math-ph2005★ 35 cited
On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators
Peter Kuchment, Boris Vainberg
The article is devoted to the following question. Consider a periodic self-adjoint difference (differential) operator on a graph (quantum graph) G with a co-compact free action of…
math.AP2005
Large time behavior of the solutions to the difference wave operators
H. Islami, B. Vainberg
The Cauchy problem for two dimensional difference wave operators is considered with potentials and initial data supported in a bounded region. The large time asymptotic behavior of…
math.CA2005
Slowing down and reflection of waves in truncated periodic media
S. Molchanov, B. Vainberg
We consider wave propagation and scattering governed by one dimensional Schrodinger operators with truncated periodic potentials. The propagation of wave packets with narrow freque…