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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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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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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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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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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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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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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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On finitely many resonances emerging under distant perturbations in multi-dimensional cylinders

Journal of mathematical analysis and applications, 2021-04, Vol.496 (2), p.124809, Article 124809

2021

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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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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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Dimerization/Elimination of β-Styrylmalonates under Action of TiCl4

Molecules (Basel, Switzerland), 2022-12, Vol.28 (1), p.270

2022

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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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Bifurcations of thresholds in essential spectra of elliptic operators under localized non‐Hermitian perturbations

Studies in applied mathematics (Cambridge), 2021-05, Vol.146 (4), p.834-880

2021

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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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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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Some Features of Scattering of a Plane Electromagnetic Wave on a Plane Magnetodielectric Plate

Journal of communications technology & electronics, 2023-08, Vol.68 (8), p.828-835

2023

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Taylor Series for Resolvents of Operators on Graphs with Small Edges

Proceedings of the Steklov Institute of Mathematics, 2022-08, Vol.317 (Suppl 1), p.S37-S54

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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Gap opening in two-dimensional periodic systems

Communications in contemporary mathematics, 2021-02, Vol.23 (1), p.1950080

2021

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On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary

Calculus of variations and partial differential equations, 2021-02, Vol.60 (1), Article 48

2021

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Asymptotic expansion of solution to Dirichlet problem in perforated domain: strange term case

Ufa Mathematical Journal, 2022, Vol.14 (4), p.26-41

Borisov, Denis Ivanovich

2022

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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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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

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

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

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

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

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

Norm Resolvent Convergence of Elliptic Operators in Domains with Thin Spikes

On finitely many resonances emerging under distant perturbations in multi-dimensional cylinders

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

Quantum Graphs with Small Edges: Holomorphy of Resolvents

Dimerization/Elimination of β-Styrylmalonates under Action of TiCl4

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

Bifurcations of thresholds in essential spectra of elliptic operators under localized non‐Hermitian perturbations

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

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

Some Features of Scattering of a Plane Electromagnetic Wave on a Plane Magnetodielectric Plate

Taylor Series for Resolvents of Operators on Graphs with Small Edges

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

Gap opening in two-dimensional periodic systems

On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary

Asymptotic expansion of solution to Dirichlet problem in perforated domain: strange term case

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

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