Works matching AU Borisov, D. I.

Results: 36

On Operator Estimates for Elliptic Operators with Mixed Boundary Conditions in Two-Dimensional Domains with Fast Oscillating Boundary.

Published in:

Mathematical Notes, 2024, v. 116, n. 1/2, p. 182, doi. 10.1134/S0001434624070149

By:

Borisov, D. I.;
Suleimanov, R. R.

Publication type:

Article

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

Published in:

Mathematical Notes, 2023, v. 113, n. 1/2, p. 138, doi. 10.1134/S0001434623010145

By:

Borisov, D. I.

Publication type:

Article

Some singular perturbations of periodic operators.

Published in:

Theoretical & Mathematical Physics, 2007, v. 151, n. 2, p. 614, doi. 10.1007/s11232-007-0048-6

By:

Borisov, D. I.

Publication type:

Article

The spectrum of the Schrödinger operator with a rapidly oscillating compactly supported potential.

Published in:

Theoretical & Mathematical Physics, 2006, v. 147, n. 1, p. 496, doi. 10.1007/s11232-006-0056-y

By:

Borisov, D. I.;
Gadyl'shin, R. R.

Publication type:

Article

Discrete Spectrum of the Schrodinger Operator Perturbed by a Narrowly Supported Potential.

Published in:

Theoretical & Mathematical Physics, 2005, v. 145, n. 3, p. 1691, doi. 10.1007/s11232-005-0191-x

By:

Bikmetov, A. R.;
Borisov, D. I.

Publication type:

Article

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

Published in:

Theoretical & Mathematical Physics, 2018, v. 195, n. 2, p. 690, doi. 10.1134/S0040577918050057

By:

Borisov, D. I.

Publication type:

Article

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

Published in:

Mathematics (2227-7390), 2023, v. 11, n. 19, p. 4042, doi. 10.3390/math11194042

By:

Borisov, D. I.;
Piatnitski, A. L.;
Zhizhina, E. A.

Publication type:

Article

Operator L<sub>2</sub>-Estimates for Two-Dimensional Problems with Rapidly Alternating Boundary Conditions.

Published in:

Journal of Mathematical Sciences, 2022, v. 267, n. 3, p. 319, doi. 10.1007/s10958-022-06136-9

By:

Borisov, D. I.;
Konyrkulzhaeva, M. N.

Publication type:

Article

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

Published in:

Journal of Mathematical Sciences, 2022, v. 264, n. 5, p. 562, doi. 10.1007/s10958-022-06017-1

By:

Borisov, D. I.

Publication type:

Article

Norm Resolvent Convergence of Elliptic Operators in Domains with Thin Spikes.

Published in:

Journal of Mathematical Sciences, 2022, v. 261, n. 3, p. 366, doi. 10.1007/s10958-022-05756-5

By:

Borisov, D. I.

Publication type:

Article

On Occurrence of Resonances from Multiple Eigenvalues of the Schrödinger Operator in a Cylinder with Distant Perturbations.

Published in:

Journal of Mathematical Sciences, 2021, v. 258, n. 1, p. 1, doi. 10.1007/s10958-021-05532-x

By:

Borisov, D. I.;
Golovina, A. M.

Publication type:

Article

On Discrete Spectrum of a Model Graph with Loop and Small Edges.

Published in:

Journal of Mathematical Sciences, 2021, v. 257, n. 5, p. 551, doi. 10.1007/s10958-021-05503-2

By:

Borisov, D. I.;
Konyrkulzhaeva, M. N.;
Mukhametrakhimova, A. I.

Publication type:

Article

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

Published in:

Journal of Mathematical Sciences, 2021, v. 257, n. 3, p. 273, doi. 10.1007/s10958-021-05481-5

By:

Borisov, D. I.

Publication type:

Article

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

Published in:

Journal of Mathematical Sciences, 2021, v. 253, n. 5, p. 599, doi. 10.1007/s10958-021-05257-x

By:

Borisov, D. I.

Publication type:

Article

Perturbations of the Continuous Spectrum of a Certain Nonlinear Two-Dimensional Operator Sheaf.

Published in:

Journal of Mathematical Sciences, 2021, v. 252, n. 2, p. 135, doi. 10.1007/s10958-020-05148-7

By:

Borisov, D. I.

Publication type:

Article

On a Model Graph with a Loop and Small Edges. Holomorphy Property of Resolvent.

Published in:

Journal of Mathematical Sciences, 2020, v. 251, n. 5, p. 573, doi. 10.1007/s10958-020-05118-z

By:

Borisov, D. I.;
Mukhametrakhimova, A. I.

Publication type:

Article

Analytic Continuation of Resolvents of Elliptic Operators in a Multidimensional Cylinder.

Published in:

Journal of Mathematical Sciences, 2020, v. 250, n. 2, p. 260, doi. 10.1007/s10958-020-05014-6

By:

Borisov, D. I.;
Golovina, A. M.;
Mukhametrakhimova, A. I.

Publication type:

Article

Elliptic Operators in Multidimensional Cylinders with Frequently Alternating Boundary Conditions Along a Given Curve.

Published in:

Journal of Mathematical Sciences, 2020, v. 244, n. 3, p. 378, doi. 10.1007/s10958-019-04624-z

By:

Borisov, D. I.

Publication type:

Article

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

Published in:

Journal of Mathematical Sciences, 2019, v. 241, n. 5, p. 518, doi. 10.1007/s10958-019-04443-2

By:

Borisov, D. I.

Publication type:

Article

Perturbation of Threshold of the Essential Spectrum of the Schrödinger Operator on the Simplest Graph with a Small Edge.

Published in:

Journal of Mathematical Sciences, 2019, v. 239, n. 3, p. 248, doi. 10.1007/s10958-019-04302-0

By:

Borisov, D. I.;
Konyrkulzhaeva, M. N.

Publication type:

Article

The Norm Resolvent Convergence for Elliptic Operators in Multi-Dimensional Domains with Small Holes.

Published in:

Journal of Mathematical Sciences, 2018, v. 232, n. 3, p. 283, doi. 10.1007/s10958-018-3873-2

By:

Borisov, D. I.;
Mukhametrakhimova, A. I.

Publication type:

Article

Asymptotics and Estimates of the Convergence Rate in a Three-Dimensional Boundary-Value Problem with Rapidly Alternating Boundary Conditions.

Published in:

Siberian Mathematical Journal, 2004, v. 45, n. 2, p. 222, doi. 10.1023/B:SIMJ.0000021279.02604.27

By:

Borisov, D. I.

Publication type:

Article

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

Published in:

Applicable Analysis, 2024, v. 103, n. 5, p. 859, doi. 10.1080/00036811.2023.2209726

By:

Borisov, D. I.

Publication type:

Article

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

Published in:

Doklady Mathematics, 2024, v. 109, n. 3, p. 227, doi. 10.1134/S1064562424702077

By:

Borisov, D. I.;
Polyakov, D. M.

Publication type:

Article

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

Published in:

Doklady Mathematics, 2024, v. 109, n. 1, p. 6, doi. 10.1134/S1064562424701758

By:

Borisov, D. I.;
Suleimanov, R. R.

Publication type:

Article

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

Published in:

Doklady Mathematics, 2021, v. 104, n. 3, p. 326, doi. 10.1134/S1064562421060053

By:

Borisov, D. I.;
Fedotov, A. A.

Publication type:

Article

Quantum Graphs with Small Edges: Holomorphy of Resolvents.

Published in:

Doklady Mathematics, 2021, v. 103, n. 3, p. 113, doi. 10.1134/S1064562421030054

By:

Borisov, D. I.

Publication type:

Article

Gap opening in two-dimensional periodic systems.

Published in:

Communications in Contemporary Mathematics, 2021, v. 23, n. 1, p. N.PAG, doi. 10.1142/S0219199719500809

By:

Borisov, D. I.;
Exner, P.

Publication type:

Article

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

Published in:

Studies in Applied Mathematics, 2021, v. 146, n. 4, p. 834, doi. 10.1111/sapm.12367

By:

Borisov, D. I.;
Zezyulin, D. A.;
Znojil, M.

Publication type:

Article

On the Spectral Stability of Kinks in 2D Klein-Gordon Model with Parity-Time-Symmetric Perturbation.

Published in:

Studies in Applied Mathematics, 2017, v. 138, n. 3, p. 317, doi. 10.1111/sapm.12156

By:

Borisov, D. I.;
Dmitriev, S. V.

Publication type:

Article

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

Published in:

Calculus of Variations & Partial Differential Equations, 2021, v. 60, n. 1, p. 1, doi. 10.1007/s00526-020-01847-w

By:

Borisov, D. I.;
Cardone, G.;
Chechkin, G. A.;
Koroleva, Yu. O.

Publication type:

Article

On the spectrum of the Schrödinger operator perturbed by a rapidly oscillating potential.

Published in:

Journal of Mathematical Sciences, 2006, v. 139, n. 1, p. 6243, doi. 10.1007/s10958-006-0349-6

By:

Borisov, D. I.

Publication type:

Article

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

Published in:

Differential Equations, 2023, v. 59, n. 2, p. 278, doi. 10.1134/S0012266123020118

By:

Borisov, D. I.;
Zezyulin, D. A.

Publication type:

Article

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

Published in:

Journal of Mathematical Sciences, 2023, v. 277, n. 6, p. 841, doi. 10.1007/s10958-023-06893-1

By:

Borisov, D. I.

Publication type:

Article

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

Published in:

Journal of Mathematical Sciences, 2023, v. 276, n. 1, p. 48, doi. 10.1007/s10958-023-06724-3

By:

Borisov, D. I.

Publication type:

Article

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

Published in:

Bulletin of Mathematical Sciences (World Scientific), 2023, v. 13, n. 2, p. 1, doi. 10.1142/S1664360722500035

By:

Borisov, D. I.;
Exner, P.

Publication type:

Article