1 citations · 3 across the 4 of their papers we have counts for
8 papers
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…
Spectral Analysis of Darboux Transformations for the Focusing NLS Hierarchy
Radu C. Cascaval, Fritz Gesztesy, Helge Holden +1
We study Darboux transformations associated with the focusing nonlinear Schrödinger equation (NLS_-) and their effect on spectral properties of the underlying Lax operator. The lat…
Hyperbolicity of semigroups and Fourier multipliers
Yuri Latushkin, Roman Shvidkoy
We present a characterization of hyperbolicity for strongly continuous semigroups on Banach spaces in terms of Fourier multiplier properties of the resolvent of the generator. Hype…
The Spectrum of a linearized 2D Euler operator
Y. Latushkin, Y. Li, M. Stanislavova
We study the spectral properties of the linearized Euler operator obtained by linearizing the equations of incompressible two dimensional fluid at a steady state with the vorticity…