Markus Poppenberg

779 total citations · 1 hit paper
20 papers, 582 citations indexed

About

Markus Poppenberg is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Markus Poppenberg has authored 20 papers receiving a total of 582 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Mathematical Physics, 8 papers in Applied Mathematics and 5 papers in Geometry and Topology. Recurrent topics in Markus Poppenberg's work include Advanced Mathematical Physics Problems (8 papers), Stability and Controllability of Differential Equations (4 papers) and Advanced Banach Space Theory (4 papers). Markus Poppenberg is often cited by papers focused on Advanced Mathematical Physics Problems (8 papers), Stability and Controllability of Differential Equations (4 papers) and Advanced Banach Space Theory (4 papers). Markus Poppenberg collaborates with scholars based in Germany and United States. Markus Poppenberg's co-authors include Klaus Schmitt, Zhi-Qiang Wang, Horst Lange and Dietmar Vogt and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Journal of Differential Equations.

In The Last Decade

Markus Poppenberg

19 papers receiving 525 citations

Hit Papers

On the existence of soliton solutions to quasilinear Schr... 2002 2026 2010 2018 2002 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. On the existence of soliton solutions to quasilinear Schrödinger equations
    2002 342 citations Markus Poppenberg, Klaus Schmitt et al. Calculus of Variations and Partial Differential Equations profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Markus Poppenberg Germany 7 474 473 235 74 58 20 582
Harald Woracek Austria 10 247 0.5× 185 0.4× 172 0.7× 68 0.9× 29 0.5× 66 366
M. Willem Belgium 7 287 0.6× 631 1.3× 378 1.6× 61 0.8× 108 1.9× 9 688
Yu. V. Pokornyi Russia 8 183 0.4× 149 0.3× 105 0.4× 36 0.5× 59 1.0× 32 283
Xiaojun Chang China 10 231 0.5× 455 1.0× 271 1.2× 55 0.7× 43 0.7× 27 512
Peter A. Tomas United States 7 329 0.7× 394 0.8× 46 0.2× 37 0.5× 34 0.6× 13 473
Yuxia Guo China 17 391 0.8× 686 1.5× 519 2.2× 20 0.3× 70 1.2× 104 795
Marek Izydorek Poland 9 129 0.3× 316 0.7× 126 0.5× 73 1.0× 112 1.9× 37 429
Hitoshi Kumano‐Go Japan 12 227 0.5× 218 0.5× 101 0.4× 33 0.4× 25 0.4× 26 310
V. Matsaev Israel 11 239 0.5× 152 0.3× 172 0.7× 24 0.3× 22 0.4× 32 306
Camil Muscalu United States 13 437 0.9× 590 1.2× 44 0.2× 24 0.3× 53 0.9× 27 644

Countries citing papers authored by Markus Poppenberg

Since Specialization
Citations

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

Fields of papers citing papers by Markus Poppenberg

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Markus Poppenberg

This figure shows the co-authorship network connecting the top 25 collaborators of Markus Poppenberg. A scholar is included among the top collaborators of Markus Poppenberg 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 Markus Poppenberg. Markus Poppenberg 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.
Poppenberg, Markus. (2013). On the Cauchy problem for nonlinear evolution equations and regularity of solutions. Note di matematica/Note di matematica - Università degli studi di Lecce. 17. 13–28.
2.
Poppenberg, Markus. (2003). Nash-Moser techniques for nonlinear boundary-value problems.. SHILAP Revista de lepidopterología. 2003. 4 indexed citations
3.
Poppenberg, Markus, Klaus Schmitt, & Zhi-Qiang Wang. (2002). On the existence of soliton solutions to quasilinear Schrödinger equations. Calculus of Variations and Partial Differential Equations. 14(3). 329–344. 342 indexed citations breakdown →
4.
Poppenberg, Markus. (2001). On the Local Well Posedness of Quasilinear Schrödinger Equations in Arbitrary Space Dimension. Journal of Differential Equations. 172(1). 83–115. 62 indexed citations
5.
Poppenberg, Markus. (2001). An Inverse Function Theorem in Sobolev Spaces and Applications to Quasi-Linear Schrödinger Equations. Journal of Mathematical Analysis and Applications. 258(1). 146–170. 3 indexed citations
6.
Poppenberg, Markus. (2001). Smooth solutions for a class of fully nonlinear Schrödinger type equations. Nonlinear Analysis. 45(6). 723–741. 16 indexed citations
7.
Poppenberg, Markus. (2000). Smooth Solutions for a Class of Nonlinear Parabolic Evolution Equations. Journal of the London Mathematical Society. 61(1). 216–244. 4 indexed citations
8.
Lange, Horst, et al.. (1999). Nash moser methods for the solution of quasilinear schrödinger equations. Communications in Partial Differential Equations. 24(7-8). 1399–1418. 86 indexed citations
9.
Poppenberg, Markus. (1999). An application of the Nash-Moser theorem to ordinary differential equations in Fréchet spaces. Studia Mathematica. 137(2). 101–121. 4 indexed citations
10.
Poppenberg, Markus. (1999). An Inverse Function Theorem for Fréchet Spaces Satisfying a Smoothing Property and (DN). Mathematische Nachrichten. 206(1). 123–145. 8 indexed citations
11.
Poppenberg, Markus. (1996). A Smoothing Property for Fréchet Spaces. Journal of Functional Analysis. 142(1). 193–210. 7 indexed citations
12.
Poppenberg, Markus. (1996). Negative results on the Nash-Moser theorem for Köthe sequence spaces and for spaces of ultradifferentiable functions. manuscripta mathematica. 90(1). 465–478. 1 indexed citations
13.
Poppenberg, Markus. (1996). Tame sequence space representations of spaces of C∞—functions. Results in Mathematics. 29(3-4). 317–334. 3 indexed citations
14.
Poppenberg, Markus. (1996). An inverse function theorem for Fréchet spaces admitting generalized smoothing operators.. The Michigan Mathematical Journal. 43(2). 2 indexed citations
15.
Poppenberg, Markus & Dietmar Vogt. (1995). Construction of standard exact sequences of power series spaces. Studia Mathematica. 112(3). 229–241. 2 indexed citations
16.
Poppenberg, Markus & Dietmar Vogt. (1995). A tame splitting theorem for exact sequences of Fréchet spaces. Mathematische Zeitschrift. 219(1). 141–161. 21 indexed citations
17.
Poppenberg, Markus. (1993). Simultaneous smoothing and interpolation with respect to E. Borel's Theorem. Archiv der Mathematik. 61(2). 150–159. 3 indexed citations
18.
Poppenberg, Markus. (1991). A sufficient condition of type (Ω) for tame splitting of short exact sequences of Fréchet spaces. manuscripta mathematica. 72(1). 257–274. 3 indexed citations
19.
Poppenberg, Markus. (1991). Characterization of the Quotient Spaces of (s) in the Tame Category. Mathematische Nachrichten. 150(1). 127–141. 5 indexed citations
20.
Poppenberg, Markus. (1990). Characterization of the subspaces of (s) in the tame category. Archiv der Mathematik. 54(3). 274–283. 6 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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