D. I. Borisov

2.0k total citations
153 papers, 1.1k citations indexed

About

D. I. Borisov is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, D. I. Borisov has authored 153 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 101 papers in Mathematical Physics, 100 papers in Computational Theory and Mathematics and 41 papers in Applied Mathematics. Recurrent topics in D. I. Borisov's work include Advanced Mathematical Modeling in Engineering (90 papers), Spectral Theory in Mathematical Physics (86 papers) and Numerical methods in inverse problems (45 papers). D. I. Borisov is often cited by papers focused on Advanced Mathematical Modeling in Engineering (90 papers), Spectral Theory in Mathematical Physics (86 papers) and Numerical methods in inverse problems (45 papers). D. I. Borisov collaborates with scholars based in Russia, Czechia and Italy. D. I. Borisov's co-authors include Giuseppe Cardone, R. R. Gadyl’shin, Pavel Exner, Renata Bunoiu, Pedro Freitas, David Krejčiřı́k, Sergey V. Dmitriev, P. G. Kevrekidis, Miloslav Znojil and Danial Saadatmand and has published in prestigious journals such as Nuclear Physics B, Annals of Physics and Journal of Mathematical Analysis and Applications.

In The Last Decade

D. I. Borisov

130 papers receiving 978 citations

Peers

D. I. Borisov

CTM

SNP

AMPO

Yujin Guo China

Marco Marletta United Kingdom

Michael Solomyak Israel

Christiane Tretter Switzerland

Charles T. Fulton United States

Jussi Behrndt Austria

Jiong Sun China

Michael Reissig Germany

B. M. Brown United Kingdom

J. K. Shaw United States

Yujin Guo China

D. I. Borisov

528 ×0.7

CTM

580 ×0.9

497 ×1.7

137 ×0.6

SNP

206 ×0.9

AMPO

Citations per year, relative to D. I. Borisov D. I. Borisov (= 1×) peers Yujin Guo

Countries citing papers authored by D. I. Borisov

Since Specialization

Citations

This map shows the geographic impact of D. I. Borisov's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by D. I. Borisov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites D. I. Borisov more than expected).

Fields of papers citing papers by D. I. Borisov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by D. I. Borisov. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by D. I. Borisov. The network helps show where D. I. Borisov may publish in the future.

Co-authorship network of co-authors of D. I. Borisov

This figure shows the co-authorship network connecting the top 25 collaborators of D. I. Borisov. A scholar is included among the top collaborators of D. I. Borisov based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with D. I. Borisov. D. I. Borisov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Borisov, D. I., et al.. (2025). Operator estimates for elliptic equations in multidimensional domains with strongly curved boundaries. Sbornik Mathematics. 216(1). 25–53.

Borisov, D. I., et al.. (2024). Uniform Spectral Asymptotics for a Schrödinger Operator on a Segment with Delta-Interaction. Russian Journal of Mathematical Physics. 31(2). 149–161. 1 indexed citations

Borisov, D. I., et al.. (2024). Uniform asymptotics for eigenvalues of model Schrödinger operator with small translation. Ufimskii Matematicheskii Zhurnal. 16(3). 1–20. 1 indexed citations

Borisov, D. I., et al.. (2024). Об операторных оценках для эллиптических операторовсо смешанными краевыми условиями в двумерных областяхс быстро осциллирующей границей. Математические заметки. 116(2). 163–184. 1 indexed citations

Borisov, D. I.. (2023). Resolvent of a Schrödinger Operator on a Model Graph with Small Loops. Journal of Mathematical Sciences. 276(1). 48–60.

Borisov, D. I.. (2023). Homogenization for operators with arbitrary perturbations in coefficients. Journal of Differential Equations. 369. 41–93. 2 indexed citations

Borisov, D. I., et al.. (2023). Resolvent Convergence for Differential–Difference Operators with Small Variable Translations. Mathematics. 11(20). 4260–4260. 5 indexed citations

Borisov, D. I., et al.. (2020). On infinite system of resonance and eigenvalues with exponential asymptotics generated by distant perturbations. Ufimskii Matematicheskii Zhurnal. 12(4). 3–18. 2 indexed citations

Borisov, D. I., et al.. (2019). Simplest graphs with small edges: asymptotics for resolvents and holomorphic dependence of spectrum. Ufimskii Matematicheskii Zhurnal. 11(2). 56–70. 6 indexed citations

10.

Borisov, D. I. & Dmitry A. Zezyulin. (2019). Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials. Applied Mathematics Letters. 100. 106049–106049. 4 indexed citations

11.

Borisov, D. I. & Pavel Exner. (2019). Gap opening in two-dimensional periodic systems. Communications in Contemporary Mathematics. 23(1). 1950080–1950080.

12.

Borisov, D. I.. (2018). On spectral gaps of a Laplacian in a strip with a bounded periodic perturbation. Ufimskii Matematicheskii Zhurnal. 10(2). 14–30. 1 indexed citations

13.

Borisov, D. I., et al.. (2018). Spectral localization for quantum Hamiltonians with weak random delta interaction. Comptes Rendus Mathématique. 356(6). 686–691.

14.

Borisov, D. I., et al.. (2016). Existence of the stationary solution of a Rayleigh-type equation. Mathematical Notes. 99(5-6). 636–642. 7 indexed citations

15.

Borisov, D. I., et al.. (2015). Initial length scale estimate for waveguides with some random singular potentials. Ufimskii Matematicheskii Zhurnal. 7(2). 33–54. 2 indexed citations

16.

Borisov, D. I.. (2014). Discrete spectrum of thin $\mathcal{PT}$-symmetric waveguide. Ufimskii Matematicheskii Zhurnal. 6(1). 29–55. 4 indexed citations

17.

Borisov, D. I. & Konstantin Pankrashkin. (2013). Gap opening and split band edges in waveguides coupled by a periodic system of small windows. Mathematical Notes. 93(5-6). 660–675. 13 indexed citations

18.

Borisov, D. I. & Pedro Freitas. (2012). Eigenvalue asymptotics for almost flat compact hypersurfaces. Doklady Mathematics. 85(1). 18–22. 1 indexed citations

19.

Borisov, D. I. & R. R. Gadyl’shin. (2008). On the spectrum of a periodic operator with a small localized perturbation. Izvestiya Mathematics. 72(4). 659–688. 16 indexed citations

20.

Borisov, D. I. & Pavel Exner. (2006). Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case. 16 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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