64 citations · 219 across the 45 of their papers we have counts for
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Resonances for the one dimensional Schrödinger operator with the matrix-valued complex square-well potential
Yuri Latushkin, Alin Pogan
We study the resonances of (generally, non-selfadjoint) Schrödinger operators with matrix-valued square-well potentials. We compute explicitly the Jost function and derive complex…
Fredholm Differential Operators with Unbounded Coefficients
Yuri Latushkin, Yuri Tomilov
We prove that a first order linear differential operator G with unbounded operator coefficients is Fredholm on spaces of functions on the real line with values in a reflexive Banac…
The Essential Spectrum of the Linearized 2D Euler Operator is a Vertical Band
Roman Shvidkoy, Yuri Latushkin
We prove that the essential spectrum of the operator obtained by linearization about a steady state of the Euler equations governing the motion of inviscid ideal fluid in dimension…
Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents
Roman Shvydkoy, Yuri Latushkin
The linear stability of a steady state solution of 2D Euler equations of an ideal fluid is being studied. We give an explicit geometric construction of approximate eigenfunctions f…