D. R. Yafaev

2.2k total citations
89 papers, 1.1k citations indexed

About

D. R. Yafaev is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, D. R. Yafaev has authored 89 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 74 papers in Mathematical Physics, 30 papers in Applied Mathematics and 28 papers in Computational Theory and Mathematics. Recurrent topics in D. R. Yafaev's work include Spectral Theory in Mathematical Physics (71 papers), Numerical methods in inverse problems (36 papers) and Matrix Theory and Algorithms (16 papers). D. R. Yafaev is often cited by papers focused on Spectral Theory in Mathematical Physics (71 papers), Numerical methods in inverse problems (36 papers) and Matrix Theory and Algorithms (16 papers). D. R. Yafaev collaborates with scholars based in France, Russia and United Kingdom. D. R. Yafaev's co-authors include A. V. Sobolev, M. Sh. Birman, Alexander Pushnitski, Nicolás Lerner, Ricardo Weder, А. В. Соболев, Evgeny Korotyaev, T. A. Suslina, I. M. Gel'fand and O. A. Ladyzhenskaya and has published in prestigious journals such as Communications in Mathematical Physics, Lecture notes in mathematics and Journal of Mathematical Physics.

In The Last Decade

D. R. Yafaev

80 papers receiving 938 citations

Peers

D. R. Yafaev
Comparison fields: 5 of 39
  • Mathematical Physics 870
  • Computational Theory and Mathematics 313
  • Applied Mathematics 306
  • Atomic and Molecular Physics, and Optics 283
  • Statistical and Nonlinear Physics 270
Werner O. Amrein Switzerland
Vladimir Georgescu France
Peter Perry United States
Friedrich Gesztesy Austria
B. S. Pavlov Russia
Ricardo Weder Mexico
S. Albeverio Germany
Eugène Gutkin United States
Hellmut Baumgärtel Germany
Mouez Dimassi France
Werner O. Amrein Switzerland View profile →
Citations per field, relative to D. R. Yafaev
D. R. Yafaev · 1×
Citations per year, relative to D. R. Yafaev
D. R. Yafaev · 1×

Countries citing papers authored by D. R. Yafaev

Since Specialization
Citations

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

Fields of papers citing papers by D. R. Yafaev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by D. R. Yafaev. 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. R. Yafaev. The network helps show where D. R. Yafaev may publish in the future.

Co-authorship network of co-authors of D. R. Yafaev

This figure shows the co-authorship network connecting the top 25 collaborators of D. R. Yafaev. A scholar is included among the top collaborators of D. R. Yafaev 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. R. Yafaev. D. R. Yafaev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
# Title Journal Authors Indexed citations
1 On spectral analysis of self-adjoint Toeplitz operators Journal of Operator Theory А. В. Соболев, D. R. Yafaev 1
2 Asymptotic behavior of orthogonal polynomials without the Carleman\n condition arXiv (Cornell University) D. R. Yafaev 4
3 Spectral asymptotics for compact self-adjoint Hankel operators Journal of Spectral Theory Alexander Pushnitski, D. R. Yafaev 0
4 A multichannel scheme in smooth scattering theory Journal of Spectral Theory Alexander Pushnitski, D. R. Yafaev 1
5 Mathematical Scattering Theory Mathematical surveys and monographs D. R. Yafaev 90
6 Spectral theory of discontinuous functions of self-adjoint operators and scattering theory Journal of Functional Analysis Alexander Pushnitski, D. R. Yafaev 4
7 Spectral Theory of Differential Operators D. R. Yafaev et al. 5
8 High-energy and smoothness asymptotic expansion of the scattering amplitude Journal of Functional Analysis D. R. Yafaev 15
9 Scattering Theory for the Dirac Operator with a Long-Range Electromagnetic Potential Journal of Functional Analysis D. R. Yafaev et al. 7
10 Sharp Constants in the Hardy–Rellich Inequalities Journal of Functional Analysis D. R. Yafaev 111
11 On the scattering matrix for perturbations of constant sign French digital mathematics library (Numdam) D. R. Yafaev 3
12 Mathematical Scattering Theory: General Theory Translations of mathematical monographs D. R. Yafaev 225
13 On the asymptotics of scattering phases for the Schrödinger equation French digital mathematics library (Numdam) D. R. Yafaev 1
14 On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section French digital mathematics library (Numdam) D. R. Yafaev 1
15 Spectral properties of the scattering matrix Functional Analysis and Its Applications A. V. Sobolev, D. R. Yafaev 15
16 The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation French digital mathematics library (Numdam) D. R. Yafaev 8
17 On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics French digital mathematics library (Numdam) A. V. Sobolev, D. R. Yafaev 8
18 Scattering theory for time-dependent zero-range potentials French digital mathematics library (Numdam) D. R. Yafaev 11
19 Spectral properties of the Schrödinger operator with a potential having a slow falloff Functional Analysis and Its Applications D. R. Yafaev 4
20 The point spectrum in the quantum-mechanical problem of many particles Functional Analysis and Its Applications D. R. Yafaev 11

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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