20 citations · 47 across the 23 of their papers we have counts for
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math.SP2012
On the limit behaviour of second order relative spectra of self-adjoint operators
Eugene Shargorodsky
It is well known that the standard projection methods allow one to recover the whole spectrum of a bounded self-adjoint operator but they often lead to spectral pollution, i.e. to…
math.AP2012★ 9 cited
An estimate for the Morse index of a Stokes wave
Eugene Shargorodsky
Stokes waves are steady periodic water waves on the free surface of an infinitely deep irrotational two dimensional flow under gravity without surface tension. They can be describe…
math.SP2012★ 20 cited
On negative eigenvalues of two-dimensional Schrödinger operators
Eugene Shargorodsky
The paper presents estimates for the number of negative eigenvalues of a two-dimensional Schrödinger operator in terms of type Orlicz norms of the potential and proves a…