26 citations · 314 across the 90 of their papers we have counts for
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Spectral band localization for Schrödinger operators on periodic graphs
Evgeny Korotyaev, Natalia Saburova
We consider Schrödinger operators on periodic discrete graphs. It is known that the spectrum of these operators has band structure. We obtain a localization of spectral bands in te…
Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators
Andrey Badanin, Evgeny Korotyaev
We consider Euler-Bernoulli operators with real coefficients on the unit interval. We prove the following results: i) Ambarzumyan type theorem about the inverse problems for the Eu…
Sharp eigenvalue asymptotics for fourth order operators on the circle
Andrey Badanin, Evgeny Korotyaev
We determine high energy asymptotics of eigenvalues of fourth order operator on the circle.
Resonances for Dirac operators on the half-line
Alexei Iantchenko, Evgeny Korotyaev
We consider the 1D Dirac operator on the half-line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modifi…
Global transformations preserving spectral data
Hiroshi Isozaki, Evgeny L. Korotyaev
We show the existence of a real analytic isomorphism between a space of impedance function of the Sturm-Liouville problem on , where is a fun…
Trace formula for fourth order operators on the circle
Andrey Badanin, Evgeny Korotyaev
We determine the trace formula for the fourth order operator on the circle. This formula is similar to the famous trace formula for the Hill operator obtained by Dubrovin, Its-Matv…