А. И. Шафаревич

1.2k total citations
117 papers, 711 citations indexed

About

А. И. Шафаревич is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Computational Theory and Mathematics. According to data from OpenAlex, А. И. Шафаревич has authored 117 papers receiving a total of 711 indexed citations (citations by other indexed papers that have themselves been cited), including 62 papers in Mathematical Physics, 43 papers in Statistical and Nonlinear Physics and 29 papers in Computational Theory and Mathematics. Recurrent topics in А. И. Шафаревич's work include Spectral Theory in Mathematical Physics (46 papers), advanced mathematical theories (30 papers) and Quantum chaos and dynamical systems (28 papers). А. И. Шафаревич is often cited by papers focused on Spectral Theory in Mathematical Physics (46 papers), advanced mathematical theories (30 papers) and Quantum chaos and dynamical systems (28 papers). А. И. Шафаревич collaborates with scholars based in Russia, Tajikistan and United States. А. И. Шафаревич's co-authors include S. Yu. Dobrokhotov, B. Tirozzi, В. Е. Назайкинский, V. P. Maslov, Tudor S. Raţiu, J. Brüning, С. А. Сергеев, A. Ruzmaikin, Jochen Brüning and I. A. Lavrinenko and has published in prestigious journals such as Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, Russian Mathematical Surveys and Physica Scripta.

In The Last Decade

А. И. Шафаревич

98 papers receiving 617 citations

Peers

Countries citing papers authored by А. И. Шафаревич

Since Specialization

Citations

This map shows the geographic impact of А. И. Шафаревич'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 А. И. Шафаревич with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites А. И. Шафаревич more than expected).

Fields of papers citing papers by А. И. Шафаревич

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by А. И. Шафаревич. 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 А. И. Шафаревич. The network helps show where А. И. Шафаревич may publish in the future.

Co-authorship network of co-authors of А. И. Шафаревич

This figure shows the co-authorship network connecting the top 25 collaborators of А. И. Шафаревич. A scholar is included among the top collaborators of А. И. Шафаревич 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 А. И. Шафаревич. А. И. Шафаревич 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

#	Work	Indexed citations
1	Short-Wave Asymptotic Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength is not Comparable to the Scale of the Localized Inhomogeneity. 2025 ·Russian Journal of Mathematical Physics ·(unknown), А. И. Шафаревич	0
2	Intermediate Asymptotics for Solutions to Equations of Emden–Fowler Type 2024 ·Doklady Mathematics ·(unknown), А. И. Шафаревич	0
3	Quasi-Classical Asymptotics Describing the Electron-Hole Interaction and the Klein Effect for the (2+1)-Dirac Equation in Abruptly Varying Fields 2024 ·Russian Journal of Mathematical Physics ·(unknown), А. И. Шафаревич	3
4	Semiclassical Asymptotics and Particle-Antiparticle Interactions for the Dirac Equations with Abruptly Varying 4-Potential 2024 ·Russian Journal of Mathematical Physics ·(unknown), А. И. Шафаревич	2
5	Quantization of Nonsmooth Curves and the Semiclassical Spectrum of the One-Dimensional Schrödinger Operator with a Localized Perturbation of the Potential 2023 ·Russian Journal of Mathematical Physics ·I. A. Lavrinenko, А. И. Шафаревич	0
6	Asymptotic behaviour of energy levels of a quantum free particle in an elliptic sector 2023 ·Physica Scripta ·(unknown), (unknown), А. И. Шафаревич	0
7	Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations 2021 ·Russian Mathematical Surveys ·S. Yu. Dobrokhotov, В. Е. Назайкинский, А. И. Шафаревич	13
8	Asymptotics of the Solution of a Wave Equation with Radially Symmetric Velocity on the Simplest Decorated Graph with Arbitrary Boundary Conditions at the Gluing Point 2020 ·Mathematical Notes ·(unknown), А. И. Шафаревич	0
9	Short-Wave Asymptotic Solutions of the Wave Equation with Localized Perturbations of the Velocity 2020 ·Russian Journal of Mathematical Physics ·(unknown), А. И. Шафаревич	4
10	Localized asymptotic solutions of the linearized system of magnetic hydrodynamics 2017 ·Mathematical Notes ·(unknown), А. И. Шафаревич	1
11	The Cauchy problem for the wave equation on homogeneous trees 2016 ·Mathematical Notes ·(unknown), А. И. Шафаревич	8
12	New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems 2015 ·Doklady Mathematics ·(unknown), S. Yu. Dobrokhotov, С. А. Сергеев, А. И. Шафаревич	15
13	Асимптотика спектра и собственных функций оператора магнитной индукции на компактной двумерной поверхности вращения 2014 ·Математические заметки ·(unknown), А. И. Шафаревич	0
14	Delta-type Solutions for the system of induction equations withdiscontinuous velocity field 2014 ·(unknown), А. И. Шафаревич	3
15	Asymptotic solutions of the Navier-Stokes equations describing periodic systems of localized vortices 2011 ·Mathematical Notes ·V. P. Maslov, А. И. Шафаревич	3
16	Квантованные римановы поверхности и квазиклассические спектральные серии для несамосопряженного оператора Шредингера с периодическими коэффициентами 2006 ·Теоретическая и математическая физика ·(unknown), А. И. Шафаревич	1
17	On Asymptotic Solutions of Nonlinear Equations in the Presence of Turning Points 2004 ·Differential Equations ·V. P. Maslov, А. И. Шафаревич	1
18	Localized Asymptotic Solutions of the Navier–Stokes Equations and Topological Invariants of Vector Fields. Prandtl–Maslov Equations on Reeb Graphs and Fomenko Invariants 2000 ·Russian Journal of Mathematical Physics ·А. И. Шафаревич	1
19	Замкнутые траектории и двумерные торы в квантовой задаче для трехмерного резонансного ангармонического осциллятора 1995 ·Russian Journal of Mathematical Physics ·(unknown), (unknown), А. И. Шафаревич	3
20	Некоторые интегральные тождества и замечания об убывании на бесконечности локализованных решений уравнений Навье-Стокса во всем пространстве 1994 ·Russian Journal of Mathematical Physics ·(unknown), А. И. Шафаревич	9

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