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 — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
D. R. Yafaev France	15	870	313	306	283	270	89	1.1k
Werner O. Amrein Switzerland	12	555 0.6×	194 0.6×	227 0.7×	231 0.8×	200 0.7×	30	794
Vladimir Georgescu France	16	696 0.8×	211 0.7×	225 0.7×	192 0.7×	222 0.8×	34	847
Peter Perry United States	19	877 1.0×	229 0.7×	339 1.1×	146 0.5×	377 1.4×	60	1.1k
Friedrich Gesztesy Austria	2	676 0.8×	260 0.8×	131 0.4×	462 1.6×	402 1.5×	2	1.0k
B. S. Pavlov Russia	17	553 0.6×	307 1.0×	167 0.5×	296 1.0×	211 0.8×	93	992
Ricardo Weder Mexico	18	857 1.0×	183 0.6×	156 0.5×	308 1.1×	317 1.2×	94	1.2k
S. Albeverio Germany	13	486 0.6×	181 0.6×	123 0.4×	289 1.0×	261 1.0×	42	731
Eugène Gutkin United States	19	646 0.7×	153 0.5×	116 0.4×	152 0.5×	623 2.3×	75	1.1k
Hellmut Baumgärtel Germany	12	278 0.3×	192 0.6×	167 0.5×	186 0.7×	178 0.7×	53	618
Mouez Dimassi France	7	428 0.5×	169 0.5×	98 0.3×	128 0.5×	213 0.8×	28	557

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

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20 of 20 papers shown

Соболев, А. В. & D. R. Yafaev. (2020). On spectral analysis of self-adjoint Toeplitz operators. Journal of Operator Theory. 84(2). 453–485. 1 indexed citations

Yafaev, D. R.. (2019). Asymptotic behavior of orthogonal polynomials without the Carleman\n condition. arXiv (Cornell University). 4 indexed citations

Pushnitski, Alexander & D. R. Yafaev. (2016). Spectral asymptotics for compact self-adjoint Hankel operators. Journal of Spectral Theory. 6(4). 921–953.

Pushnitski, Alexander & D. R. Yafaev. (2013). A multichannel scheme in smooth scattering theory. Journal of Spectral Theory. 3(4). 601–634. 1 indexed citations

Yafaev, D. R.. (2010). Mathematical Scattering Theory. Mathematical surveys and monographs. 90 indexed citations

Pushnitski, Alexander & D. R. Yafaev. (2010). Spectral theory of discontinuous functions of self-adjoint operators and scattering theory. Journal of Functional Analysis. 259(8). 1950–1973. 4 indexed citations

Yafaev, D. R., et al.. (2008). Spectral Theory of Differential Operators. 5 indexed citations

Yafaev, D. R.. (2003). High-energy and smoothness asymptotic expansion of the scattering amplitude. Journal of Functional Analysis. 202(2). 526–570. 15 indexed citations

Yafaev, D. R., et al.. (2001). Scattering Theory for the Dirac Operator with a Long-Range Electromagnetic Potential. Journal of Functional Analysis. 184(1). 136–176. 7 indexed citations

10.

Yafaev, D. R.. (1999). Sharp Constants in the Hardy–Rellich Inequalities. Journal of Functional Analysis. 168(1). 121–144. 111 indexed citations

11.

Yafaev, D. R.. (1992). On the scattering matrix for perturbations of constant sign. French digital mathematics library (Numdam). 57(4). 361–384. 3 indexed citations

12.

Yafaev, D. R.. (1992). Mathematical Scattering Theory: General Theory. Translations of mathematical monographs. 225 indexed citations

13.

Yafaev, D. R.. (1990). On the asymptotics of scattering phases for the Schrödinger equation. French digital mathematics library (Numdam). 53(3). 283–299. 1 indexed citations

14.

Yafaev, D. R.. (1989). On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section. French digital mathematics library (Numdam). 1–10. 1 indexed citations

15.

Sobolev, A. V. & D. R. Yafaev. (1989). Spectral properties of the scattering matrix. Functional Analysis and Its Applications. 23(3). 249–251. 15 indexed citations

16.

Yafaev, D. R.. (1986). The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation. French digital mathematics library (Numdam). 44(4). 397–425. 8 indexed citations

17.

Sobolev, A. V. & D. R. Yafaev. (1986). On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. French digital mathematics library (Numdam). 44(2). 195–210. 8 indexed citations

18.

Yafaev, D. R.. (1984). Scattering theory for time-dependent zero-range potentials. French digital mathematics library (Numdam). 40(4). 343–359. 11 indexed citations

19.

Yafaev, D. R.. (1982). Spectral properties of the Schrödinger operator with a potential having a slow falloff. Functional Analysis and Its Applications. 16(4). 280–286. 4 indexed citations

20.

Yafaev, D. R.. (1972). The point spectrum in the quantum-mechanical problem of many particles. Functional Analysis and Its Applications. 6(4). 349–350. 11 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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