Search Results - "LATUSHKIN, Yuri"

Fredholm determinants, Evans functions and Maslov indices for partial differential equations by Cox, Graham, Latushkin, Yuri, Sukhtayev, Alim

“…The Evans function is a well known tool for locating spectra of differential operators in one spatial dimension. In this paper we construct a multidimensional…”
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The essential spectrum of periodically stationary solutions of the complex Ginzburg–Landau equation by Zweck, John, Latushkin, Yuri, Marzuola, Jeremy L., Jones, Christopher K. R. T.

“…We establish the existence and regularity properties of a monodromy operator for the linearization of the cubic–quintic complex Ginzburg–Landau equation about…”
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The index formula and the spectral shift function for relatively trace class perturbations by Gesztesy, Fritz, Latushkin, Yuri, Makarov, Konstantin A., Sukochev, Fedor, Tomilov, Yuri

“…We compute the Fredholm index, index ( D A ) , of the operator D A = ( d / d t ) + A on L 2 ( R ; H ) associated with the operator path { A ( t ) } t = − ∞ ∞ ,…”
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First‐order asymptotic perturbation theory for extensions of symmetric operators by Latushkin, Yuri, Sukhtaiev, Selim

“…This work offers a new prospective on asymptotic perturbation theory for varying self‐adjoint extensions of symmetric operators. Employing symplectic…”
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Uniform bounds of families of analytic semigroups and Lyapunov Linear Stability of planar fronts by Latushkin, Yuri, Pogan, Alin

“…We study families of analytic semigroups, acting on a Banach space, and depending on a parameter, and give sufficient conditions for existence of uniform with…”
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Resolvent expansions for self‐adjoint operators via boundary triplets by Latushkin, Yuri, Sukhtaiev, Selim

“…In this paper, we develop certain aspects of perturbation theory for self‐adjoint operators subject to small variations of their domains. We use the theory of…”
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Some results on the entropy of non-autonomous dynamical systems by Kawan, Christoph, Latushkin, Yuri

“…In this paper, we advance the entropy theory of discrete non-autonomous dynamical systems that was initiated by Kolyada and Snoha in 1996. The first part of…”
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The Selgrade Decomposition for Linear Semiflows on Banach Spaces by Blumenthal, Alex, Latushkin, Yuri

“…We extend Selgrade’s Theorem, Morse spectrum, and related concepts to the setting of linear skew product semiflows on a separable Banach bundle. We recover a…”
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The infinite dimensional Evans function by Latushkin, Yuri, Pogan, Alin

“…We introduce generalized operator valued Jost solutions of first order ill-posed differential equations on Hilbert spaces. We then construct an infinite…”
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Eigenvalues of the Linearized 2D Euler Equations via Birman–Schwinger and Lin’s Operators by Latushkin, Yuri, Vasudevan, Shibi

“…We study spectral instability of steady states to the linearized 2D Euler equations on the torus written in vorticity form via certain Birman–Schwinger type…”
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Stability of fronts in the diffusive Rosenzweig–MacArthur model by Ghazaryan, Anna, Lafortune, Stéphane, Latushkin, Yuri, Manukian, Vahagn

“…We consider a diffusive Rosenzweig–MacArthur predator–prey model in the situation when the prey diffuses at a rate much smaller than that of the predator. In a…”
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The Maslov and Morse Indices for System Schrödinger Operators on ℝ by Howard, Peter, Latushkin, Yuri, Sukhtayev, Alim

“…Assuming a symmetric matrix-valued potential that approaches constant endstates with a sufficient asymptotic rate, we relate the Maslov and Morse indices for…”
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Spectral analysis of Darboux transformations for the focusing NLS hierarchy by Cascaval, Radu C., Gesztesy, Fritz, Holden, Helge, Latushkin, Yuri

“…(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) We study Darboux-type transformations associated with the focusing nonlinear…”
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The Morse and Maslov indices for Schrödinger operators by Latushkin, Yuri, Sukhtaiev, Selim, Sukhtayev, Alim

“…We study the spectrum of Schrödinger operators with matrixvalued potentials, utilizing tools from infinite-dimensional symplectic geometry. Using the spaces of…”
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The Dichotomy Theorem for evolution bi-families by Latushkin, Yuri, Pogan, Alin

“…We prove that the operator G, the closure of the first-order differential operator − d / d t + D ( t ) on L 2 ( R , X ) , is Fredholm if and only if the not…”
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THE MORSE AND MASLOV INDICES FOR MULTIDIMENSIONAL SCHRÖDINGER OPERATORS WITH MATRIX-VALUED POTENTIALS by COX, GRAHAM, JONES, CHRISTOPHER K. R. T., LATUSHKIN, YURI, SUKHTAYEV, ALIM

“…We study the Schrödinger operator L = −Δ + V on a star-shaped domain Ω in ℝ d with Lipschitz boundary ∂Ω. The operator is equipped with quite general…”
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Spectrum of Non-planar Traveling Waves by Ghazaryan, Anna, Latushkin, Yuri, Pogan, Alin

“…In this paper we prove that a class of non self-adjoint second order differential operators acting in cylinders Ω × R ⊆ R d + 1 have only real discrete…”
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Hadamard-type formulas via the Maslov form by Latushkin, Yuri, Sukhtayev, Alim

“…Given a star-shaped bounded Lipschitz domain Ω ⊂ R d , we consider the Schrödinger operator L G = - Δ + V on Ω and its restrictions L G Ω t on the subdomains Ω…”
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Counting spectrum via the Maslov index for one dimensional $\theta -$periodic Schrödinger operators by Jones, Christopher K. R. T., Latushkin, Yuri, Sukhtaiev, Selim

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COUNTING SPECTRUM VIA THE MASLOV INDEX FOR ONE DIMENSIONAL 𝜃–PERIODIC SCHRÖDINGER OPERATORS by JONES, CHRISTOPHER K. R. T., LATUSHKIN, YURI, SUKHTAIEV, SELIM

“…We study the spectrum of the Schrödinger operators with 𝑛 × 𝑛 matrix valued potentials on a finite interval subject to 𝜃–periodic boundary conditions. For…”
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