П. Е. Соболевский

1.5k total citations
41 papers, 756 citations indexed

About

П. Е. Соболевский is a scholar working on Applied Mathematics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, П. Е. Соболевский has authored 41 papers receiving a total of 756 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Applied Mathematics, 20 papers in Numerical Analysis and 10 papers in Mathematical Physics. Recurrent topics in П. Е. Соболевский's work include Differential Equations and Boundary Problems (27 papers), Differential Equations and Numerical Methods (18 papers) and Advanced Mathematical Modeling in Engineering (8 papers). П. Е. Соболевский is often cited by papers focused on Differential Equations and Boundary Problems (27 papers), Differential Equations and Numerical Methods (18 papers) and Advanced Mathematical Modeling in Engineering (8 papers). П. Е. Соболевский collaborates with scholars based in Russia, Bulgaria and Czechia. П. Е. Соболевский's co-authors include Allaberen Ashyralyev, V. P. Orlov, M. A. Krasnosel’skii, Lev Birbrair, В. А. Ильин, M. A. Naĭmark and Israel Gohberg and has published in prestigious journals such as Nonlinear Analysis, Mathematische Nachrichten and Abstract and Applied Analysis.

In The Last Decade

П. Е. Соболевский

36 papers receiving 669 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
П. Е. Соболевский Russia 14 591 405 305 248 118 41 756
C. Y. Chan United States 13 313 0.5× 212 0.5× 123 0.4× 267 1.1× 93 0.8× 70 529
Samuel M. Rankin United States 12 309 0.5× 153 0.4× 82 0.3× 94 0.4× 140 1.2× 20 425
Steven D. Taliaferro United States 12 396 0.7× 163 0.4× 135 0.4× 222 0.9× 48 0.4× 37 507
Alain Pham Ngoc Dinh France 13 151 0.3× 118 0.3× 279 0.9× 164 0.7× 219 1.9× 37 421
Svatopluk Fučík Czechia 12 601 1.0× 269 0.7× 236 0.8× 427 1.7× 115 1.0× 40 805
A. P. Oskolkov 11 208 0.4× 47 0.1× 125 0.4× 212 0.9× 191 1.6× 51 496
Mitsuharu Ôtani Japan 14 511 0.9× 75 0.2× 211 0.7× 472 1.9× 201 1.7× 59 677
Giovanni Maria Troianiello Italy 6 282 0.5× 65 0.2× 148 0.5× 296 1.2× 47 0.4× 16 443
Barry F. Knerr United States 6 175 0.3× 83 0.2× 98 0.3× 184 0.7× 38 0.3× 8 308
Andrea Dall’Aglio Italy 12 619 1.0× 36 0.1× 360 1.2× 592 2.4× 131 1.1× 28 735

Countries citing papers authored by П. Е. Соболевский

Since Specialization
Citations

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

Fields of papers citing papers by П. Е. Соболевский

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by П. Е. Соболевский. 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 П. Е. Соболевский. The network helps show where П. Е. Соболевский may publish in the future.

Co-authorship network of co-authors of П. Е. Соболевский

This figure shows the co-authorship network connecting the top 25 collaborators of П. Е. Соболевский. A scholar is included among the top collaborators of П. Е. Соболевский 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 П. Е. Соболевский. П. Е. Соболевский 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
1.
Ashyralyev, Allaberen & П. Е. Соболевский. (2001). On the stability of the linear delay differential and difference equations. Abstract and Applied Analysis. 6(5). 267–297. 11 indexed citations
2.
Ashyralyev, Allaberen, et al.. (2001). Coercive solvability of the nonlocal boundary value problem for parabolic differential equations. Abstract and Applied Analysis. 6(1). 53–61. 30 indexed citations
3.
Ashyralyev, Allaberen & П. Е. Соболевский. (2001). A note on the difference schemes for hyperbolic equations. Abstract and Applied Analysis. 6(2). 63–70. 47 indexed citations
4.
Соболевский, П. Е., et al.. (1998). The sharp constant in Hardy's inequality for complement of bounded domain. Nonlinear Analysis. 33(2). 105–120. 7 indexed citations
5.
Соболевский, П. Е., et al.. (1998). Motion of nonlinear visco-elastic fluid. Nonlinear Analysis. 32(6). 755–760. 37 indexed citations
6.
Соболевский, П. Е.. (1997). Well‐posedness of difference elliptic equation. Discrete Dynamics in Nature and Society. 1(3). 219–231. 19 indexed citations
7.
Соболевский, П. Е., et al.. (1997). The best possible constant in generalized Hardy's inequality for convex domain in rn. Nonlinear Analysis. 28(9). 1601–1610. 72 indexed citations
8.
Соболевский, П. Е.. (1996). Asymptotics of Stable Viscoelastic Fluid Motion (Oldroyd's Mathematical Model). Mathematische Nachrichten. 177(1). 281–305. 13 indexed citations
9.
Ashyralyev, Allaberen & П. Е. Соболевский. (1995). Well-posed solvability of the Cauchy problem for difference equations of parabolic type. Nonlinear Analysis. 24(2). 257–264. 10 indexed citations
10.
Ashyralyev, Allaberen & П. Е. Соболевский. (1994). Well-Posedness of Parabolic Difference Equations. Birkhäuser Basel eBooks. 156 indexed citations
11.
Соболевский, П. Е.. (1994). Stabilization of viscoelastic fluid motion (Oldroyd's mathematical model). Differential and Integral Equations. 7(5-6). 27 indexed citations
12.
Соболевский, П. Е., et al.. (1987). Solvability of the Cauchy problem for an evolution equation in a Banach space with a nondensely defined operator coefficient generating a semigroup with a singularity. Siberian Mathematical Journal. 27(4). 544–553. 4 indexed citations
13.
Соболевский, П. Е., et al.. (1981). Difference schemes of optimal type for an approximate solution of parabolic equations (Banach case). Ukrainian Mathematical Journal. 33(1). 30–36. 3 indexed citations
14.
Соболевский, П. Е.. (1978). Fractional powers of coercive-positive sums of operators. Siberian Mathematical Journal. 18(3). 454–469. 3 indexed citations
15.
Соболевский, П. Е., et al.. (1977). Well-posed solvability of a difference boundary-value problem in Bochner space. Ukrainian Mathematical Journal. 28(4). 394–404.
16.
Соболевский, П. Е., et al.. (1972). On coercive solvability of parabolic equations. Mathematical Notes. 11(4). 251–256. 3 indexed citations
17.
Соболевский, П. Е., et al.. (1967). The Cauchy problem for second order differential equations in Banach spaces. Siberian Mathematical Journal. 8(1). 52–68. 5 indexed citations
18.
Krasnosel’skii, M. A., et al.. (1966). Интегральные операторы в пространствах суммируемых функций. 15 indexed citations
19.
Gohberg, Israel, et al.. (1966). Ten Papers on Functional Analysis and Measure Theory. 1 indexed citations
20.
Соболевский, П. Е.. (1964). COERCIVENESS INEQUALITIES FOR ABSTRACT PARABOLIC EQUATIONS. 157(1). 52–55. 79 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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