122 citations · 452 across the 56 of their papers we have counts for
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math.SP2022★ 1 cited
Negative eigenvalues of non-local Schrödinger operators with sign-changing potentials
S. Molchanov, B. Vainberg
Simon's results on the negative spectrum of recurrent Schrödinger operators () are extended to a wider class of potentials and to non-local operators. An example of po…
math.AP2022★ 9 cited
Clusters of Bloch waves in three-dimensional periodic media
Yuri A. Godin, Boris Vainberg
We consider acoustic wave propagation through a periodic array of the inclusions of arbitrary shape. The inclusion size is much smaller than the array period while the wavelength i…