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On the Bifurcation of Thresholds of the Essential Spectrum with a Spectral Singularity

Differential equations, 2023-02, Vol.59 (2), p.278-282

2023

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Spectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure

Mathematics (Basel), 2023-10, Vol.11 (19), p.4042

2023

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Operator estimates for non-periodically perforated domains: disappearance of cavities

Applicable analysis, 2024-03, Vol.103 (5), p.859-873

Borisov, D. I.

2024

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Asymptotic Analysis of Boundary-Value Problems for the Laplace Operator with Frequently Alternating Type of Boundary Conditions

Journal of mathematical sciences (New York, N.Y.), 2023-12, Vol.277 (6), p.841-958

Borisov, D. I.

2023

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Operator Estimates in Two-Dimensional Problems with a Frequent Alternation in the Case of Small Parts with the Dirichlet Condition

Proceedings of the Steklov Institute of Mathematics, 2023-08, Vol.321 (Suppl 1), p.S33-S52

Borisov, D. I.

2023

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Homogenization of Operators with Perturbations of General Form in the Lower-Order Terms

Mathematical Notes, 2023-02, Vol.113 (1-2), p.138-142

Borisov, D. I.

2023

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Resolvent of a Schrödinger Operator on a Model Graph with Small Loops

Journal of mathematical sciences (New York, N.Y.), 2023-10, Vol.276 (1), p.48-60

Borisov, D. I.

2023

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Operator Estimates for Planar Domains with Irregularly Curved Boundary. The Dirichlet and Neumann Conditions

Journal of mathematical sciences (New York, N.Y.), 2022-07, Vol.264 (5), p.562-580

Borisov, D. I.

2022

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Norm Resolvent Convergence of Elliptic Operators in Domains with Thin Spikes

Journal of mathematical sciences (New York, N.Y.), 2022-02, Vol.261 (3), p.366-392

Borisov, D. I.

2022

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Spacing gain and absorption in a simple PT-symmetric model: spectral singularities and ladders of eigenvalues and resonances

Journal of physics. A, Mathematical and theoretical, 2019-10, Vol.52 (44)

2019

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Approximation of point interactions by geometric perturbations in two-dimensional domains

Bulletin of mathematical sciences, 2023-08, Vol.13 (2)

2023

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Quantum Graphs with Small Edges: Holomorphy of Resolvents

Doklady. Mathematics, 2021-05, Vol.103 (3), p.113-117

Borisov, D. I.

2021

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On Lacunas in the Spectrum of the Laplacian with the Dirichlet Boundary Condition in a Band with Oscillating Boundary

Journal of mathematical sciences (New York, N.Y.), 2021-09, Vol.257 (3), p.273-285

Borisov, D. I.

2021

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Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition

Sbornik. Mathematics, 2021-08, Vol.212 (8), p.1068-1121

2021

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Bifurcations of Essential Spectra Generated by a Small Non-Hermitian Hole. II. Eigenvalues and Resonances

Russian journal of mathematical physics, 2022-09, Vol.29 (3), p.321-341

2022

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On Lacunas in the Lower Part of the Spectrum of the Periodic Magnetic Operator in a Strip

Journal of mathematical sciences (New York, N.Y.), 2021-03, Vol.253 (5), p.599-617

Borisov, D. I.

2021

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Asymptotics for Eigenvalues of Schrödinger Operator with Small Translation and Dirichlet Condition

Doklady. Mathematics, 2024-06, Vol.109 (3), p.227-231

2024

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Bifurcations of Essential Spectra Generated by a Small Non-Hermitian Hole. I. Meromorphic Continuations

Russian journal of mathematical physics, 2021-10, Vol.28 (4), p.416-433

2021

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Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit

Analysis and mathematical physics, 2023-02, Vol.13 (1), Article 5

2023

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Operator Estimates for Problems in Domains with Singularly Curved Boundary: Dirichlet and Neumann Conditions

Doklady. Mathematics, 2024-02, Vol.109 (1), p.6-11

2024

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On Bloch Solutions of Difference Schrödinger Equations

Functional analysis and its applications, 2022-12, Vol.56 (4), p.239-250

2022

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Absence of Gaps in a Lower Part of the Spectrum of a Laplacian with Frequent Alternation of Boundary Conditions in a Strip

Theoretical and mathematical physics, 2018-05, Vol.195 (2), p.690-703

Borisov, D. I.

2018

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On the Spectrum of a Non-Self-Adjoint Quasiperiodic Operator

Doklady. Mathematics, 2021-11, Vol.104 (3), p.326-331

2021

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Monodromization and a -Symmetric Nonself-Adjoint Quasi-Periodic Operator

Russian journal of mathematical physics, 2023, Vol.30 (3), p.294-309

2023

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Estimates of Initial Scales for Layers with Small Random Negative-Definite Perturbations

Journal of mathematical sciences (New York, N.Y.), 2019-09, Vol.241 (5), p.518-548

Borisov, D. I.

2019

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On the Bifurcation of Thresholds of the Essential Spectrum with a Spectral Singularity

Spectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure

Operator estimates for non-periodically perforated domains: disappearance of cavities

Asymptotic Analysis of Boundary-Value Problems for the Laplace Operator with Frequently Alternating Type of Boundary Conditions

Operator Estimates in Two-Dimensional Problems with a Frequent Alternation in the Case of Small Parts with the Dirichlet Condition

Homogenization of Operators with Perturbations of General Form in the Lower-Order Terms

Resolvent of a Schrödinger Operator on a Model Graph with Small Loops

Operator Estimates for Planar Domains with Irregularly Curved Boundary. The Dirichlet and Neumann Conditions

Norm Resolvent Convergence of Elliptic Operators in Domains with Thin Spikes

Spacing gain and absorption in a simple PT-symmetric model: spectral singularities and ladders of eigenvalues and resonances

Approximation of point interactions by geometric perturbations in two-dimensional domains

Quantum Graphs with Small Edges: Holomorphy of Resolvents

On Lacunas in the Spectrum of the Laplacian with the Dirichlet Boundary Condition in a Band with Oscillating Boundary

Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition

Bifurcations of Essential Spectra Generated by a Small Non-Hermitian Hole. II. Eigenvalues and Resonances

On Lacunas in the Lower Part of the Spectrum of the Periodic Magnetic Operator in a Strip

Asymptotics for Eigenvalues of Schrödinger Operator with Small Translation and Dirichlet Condition

Bifurcations of Essential Spectra Generated by a Small Non-Hermitian Hole. I. Meromorphic Continuations

Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit

Operator Estimates for Problems in Domains with Singularly Curved Boundary: Dirichlet and Neumann Conditions

On Bloch Solutions of Difference Schrödinger Equations

Absence of Gaps in a Lower Part of the Spectrum of a Laplacian with Frequent Alternation of Boundary Conditions in a Strip

On the Spectrum of a Non-Self-Adjoint Quasiperiodic Operator

Monodromization and a -Symmetric Nonself-Adjoint Quasi-Periodic Operator

Estimates of Initial Scales for Layers with Small Random Negative-Definite Perturbations

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