Sigmund Selberg

1.2k total citations
30 papers, 604 citations indexed

About

Sigmund Selberg is a scholar working on Mathematical Physics, Applied Mathematics and Control and Systems Engineering. According to data from OpenAlex, Sigmund Selberg has authored 30 papers receiving a total of 604 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Mathematical Physics, 16 papers in Applied Mathematics and 11 papers in Control and Systems Engineering. Recurrent topics in Sigmund Selberg's work include Advanced Mathematical Physics Problems (28 papers), Stability and Controllability of Differential Equations (11 papers) and Navier-Stokes equation solutions (9 papers). Sigmund Selberg is often cited by papers focused on Advanced Mathematical Physics Problems (28 papers), Stability and Controllability of Differential Equations (11 papers) and Navier-Stokes equation solutions (9 papers). Sigmund Selberg collaborates with scholars based in Norway, Italy and United States. Sigmund Selberg's co-authors include Sergiù Klainerman, Achenef Tesfahun, Piero DʼAncona, Damiano Foschi, Norbert J. Mauser, A. Alexandrou Himonas, Henrik Kalisch, Jean‐Claude Saut and Didier Pilod and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Differential Equations and Journal of Functional Analysis.

In The Last Decade

Sigmund Selberg

30 papers receiving 520 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Sigmund Selberg Norway 15 548 311 178 164 116 30 604
Sebastian Herr Germany 12 511 0.9× 259 0.8× 256 1.4× 100 0.6× 54 0.5× 30 542
Shuji Machihara Japan 12 372 0.7× 257 0.8× 97 0.5× 79 0.5× 29 0.3× 35 468
Ioan Bejenaru United States 11 397 0.7× 259 0.8× 126 0.7× 118 0.7× 31 0.3× 22 432
Kimitoshi Tsutaya Japan 10 306 0.6× 118 0.4× 164 0.9× 101 0.6× 37 0.3× 33 335
Makoto Nakamura Japan 12 353 0.6× 204 0.7× 99 0.6× 136 0.8× 49 0.4× 37 386
Nicola Visciglia Italy 18 723 1.3× 378 1.2× 274 1.5× 137 0.8× 29 0.3× 58 775
Nikolaos Tzirakis United States 13 426 0.8× 172 0.6× 253 1.4× 125 0.8× 23 0.2× 34 460
Joachim Krieger Switzerland 16 717 1.3× 302 1.0× 376 2.1× 185 1.1× 49 0.4× 44 737
Monica Vişan United States 22 1.5k 2.8× 588 1.9× 756 4.2× 273 1.7× 119 1.0× 49 1.6k
T. Tao United States 3 338 0.6× 145 0.5× 242 1.4× 65 0.4× 16 0.1× 4 389

Countries citing papers authored by Sigmund Selberg

Since Specialization
Citations

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

Fields of papers citing papers by Sigmund Selberg

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sigmund Selberg. 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 Sigmund Selberg. The network helps show where Sigmund Selberg may publish in the future.

Co-authorship network of co-authors of Sigmund Selberg

This figure shows the co-authorship network connecting the top 25 collaborators of Sigmund Selberg. A scholar is included among the top collaborators of Sigmund Selberg 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 Sigmund Selberg. Sigmund Selberg 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.
Selberg, Sigmund, Didier Pilod, Jean‐Claude Saut, & Achenef Tesfahun. (2021). Dispersive Estimates for Full Dispersion KP Equations. Duo Research Archive (University of Oslo). 6 indexed citations
2.
Himonas, A. Alexandrou, Henrik Kalisch, & Sigmund Selberg. (2017). On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation. Nonlinear Analysis Real World Applications. 38. 35–48. 31 indexed citations
3.
Selberg, Sigmund & Achenef Tesfahun. (2016). Null structure and local well-posedness in the energy class for the Yang–Mills equations in Lorenz gauge. Journal of the European Mathematical Society. 18(8). 1729–1752. 11 indexed citations
4.
Selberg, Sigmund, et al.. (2016). Lower Bounds on the Radius of Spatial Analyticity for the KdV Equation. Annales Henri Poincaré. 18(3). 1009–1023. 50 indexed citations
5.
DʼAncona, Piero, Damiano Foschi, & Sigmund Selberg. (2011). Atlas of products for wave-Sobolev spaces on ℝ¹⁺³. Transactions of the American Mathematical Society. 364(1). 31–63. 13 indexed citations
6.
DʼAncona, Piero & Sigmund Selberg. (2011). Dispersive estimate for the 1D Schrödinger equation with a steplike potential. Journal of Differential Equations. 252(2). 1603–1634. 2 indexed citations
7.
DʼAncona, Piero & Sigmund Selberg. (2010). Global well-posedness of the Maxwell–Dirac system in two space dimensions. Journal of Functional Analysis. 260(8). 2300–2365. 9 indexed citations
8.
DʼAncona, Piero, Damiano Foschi, & Sigmund Selberg. (2010). Null structure and almost optimal local well-posedness of the Maxwell-Dirac system. American Journal of Mathematics. 132(3). 771–839. 15 indexed citations
9.
Selberg, Sigmund & Achenef Tesfahun. (2008). LOW REGULARITY WELL-POSEDNESS OF THE DIRAC–KLEIN–GORDON EQUATIONS IN ONE SPACE DIMENSION. Communications in Contemporary Mathematics. 10(2). 181–194. 31 indexed citations
10.
DʼAncona, Piero, Damiano Foschi, & Sigmund Selberg. (2007). Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system. Journal of the European Mathematical Society. 9(4). 877–899. 50 indexed citations
11.
Selberg, Sigmund. (2007). Global Well-posedness Below the Charge Norm for the Dirac-Klein-Gordon System in One Space Dimension. International Mathematics Research Notices. 9 indexed citations
12.
DʼAncona, Piero, Damiano Foschi, & Sigmund Selberg. (2007). LOCAL WELL-POSEDNESS BELOW THE CHARGE NORM FOR THE DIRAC–KLEIN–GORDON SYSTEM IN TWO SPACE DIMENSIONS. Journal of Hyperbolic Differential Equations. 4(2). 295–330. 23 indexed citations
13.
Mauser, Norbert J., et al.. (2005). ON THE ASYMPTOTIC ANALYSIS OF THE DIRAC–MAXWELL SYSTEM IN THE NONRELATIVISTIC LIMIT. Journal of Hyperbolic Differential Equations. 2(1). 129–182. 15 indexed citations
14.
Mauser, Norbert J., et al.. (2004). Nonrelativistic limit of Klein-Gordon-Maxwell to Schrödinger-Poisson. American Journal of Mathematics. 126(1). 31–64. 22 indexed citations
15.
Selberg, Sigmund. (2002). ALMOST OPTIMAL LOCAL WELL-POSEDNESS OF THE MAXWELL-KLEIN-GORDON EQUATIONS IN 1 + 4 DIMENSIONS. Communications in Partial Differential Equations. 27(5-6). 1183–1227. 16 indexed citations
16.
Selberg, Sigmund. (2001). Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations on $\R^{1+4}$. arXiv (Cornell University). 3 indexed citations
17.
Selberg, Sigmund. (1999). Multilinear Space-Time Estimates and Applications to Local Existence Theory for Nonlinear Wave Equations. 27 indexed citations
18.
Klainerman, Sergiù & Sigmund Selberg. (1997). Remark on the optimal regularity for equations of wave maps type. Communications in Partial Differential Equations. 22(5-6). 99–133. 74 indexed citations
19.
Selberg, Sigmund, et al.. (1960). A sum involving the function of Möbius. Acta Arithmetica. 6(1). 111–114. 3 indexed citations
20.
Selberg, Sigmund. (1955). I. M. VINOGRADOV : The method of trigonometrical sums in the theory of numbers. MATHEMATICA SCANDINAVICA. 3. 173–173. 1 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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