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math-ph2003★ 1 cited
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…
math-ph2003
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…
math-ph2003★ 1 cited
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…