Axel Grünrock

554 total citations
15 papers, 274 citations indexed

About

Axel Grünrock is a scholar working on Mathematical Physics, Applied Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Axel Grünrock has authored 15 papers receiving a total of 274 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Mathematical Physics, 12 papers in Applied Mathematics and 7 papers in Statistical and Nonlinear Physics. Recurrent topics in Axel Grünrock's work include Advanced Mathematical Physics Problems (15 papers), Mathematical Analysis and Transform Methods (8 papers) and Nonlinear Waves and Solitons (7 papers). Axel Grünrock is often cited by papers focused on Advanced Mathematical Physics Problems (15 papers), Mathematical Analysis and Transform Methods (8 papers) and Nonlinear Waves and Solitons (7 papers). Axel Grünrock collaborates with scholars based in Germany, Portugal and Spain. Axel Grünrock's co-authors include Sebastian Herr, Luis Vega and Hartmut Pecher and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and SIAM Journal on Mathematical Analysis.

In The Last Decade

Axel Grünrock

13 papers receiving 240 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Axel Grünrock Germany 9 263 171 136 57 17 15 274
Kyouhei Wakasa Japan 10 278 1.1× 104 0.6× 166 1.2× 167 2.9× 16 0.9× 27 280
Kunio Hidano Japan 10 217 0.8× 66 0.4× 151 1.1× 84 1.5× 14 0.8× 25 231
Alessandro Palmieri Italy 11 315 1.2× 140 0.8× 189 1.4× 168 2.9× 27 1.6× 29 329
Hideaki Sunagawa Japan 11 287 1.1× 151 0.9× 89 0.7× 135 2.4× 7 0.4× 28 291
Lifeng Zhao China 8 281 1.1× 99 0.6× 117 0.9× 56 1.0× 20 1.2× 19 287
Jacek Jendrej France 7 166 0.6× 92 0.5× 82 0.6× 36 0.6× 5 0.3× 23 189
Zaihong Jiang China 9 225 0.9× 144 0.8× 154 1.1× 78 1.4× 6 0.4× 42 291
Van Duong Dinh France 9 201 0.8× 109 0.6× 93 0.7× 56 1.0× 10 0.6× 37 221
Lidiao Ni China 10 274 1.0× 290 1.7× 130 1.0× 43 0.8× 6 0.4× 14 380
Gyeongha Hwang South Korea 7 218 0.8× 55 0.3× 133 1.0× 72 1.3× 15 0.9× 20 239

Countries citing papers authored by Axel Grünrock

Since Specialization
Citations

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

Fields of papers citing papers by Axel Grünrock

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Axel Grünrock

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

All Works

15 of 15 papers shown
1.
Grünrock, Axel, et al.. (2023). Low Regularity Local Well-Posedness for the Zero Energy Novikov–Veselov Equation. SIAM Journal on Mathematical Analysis. 55(1). 19–35.
2.
Grünrock, Axel. (2011). ON THE WAVE EQUATION WITH QUADRATIC NONLINEARITIES IN THREE SPACE DIMENSIONS. Journal of Hyperbolic Differential Equations. 8(1). 1–8. 5 indexed citations
3.
Grünrock, Axel. (2010). On the hierarchies of higher order mKdV and KdV equations. Open Mathematics. 8(3). 500–536. 17 indexed citations
4.
Grünrock, Axel. (2009). On the Cauchy-problem for generalized Kadomtsev-Petviashvili-II equations.. 2009.
5.
Grünrock, Axel, et al.. (2009). On KP-II type equations on cylinders. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 26(6). 2335–2358. 12 indexed citations
6.
Grünrock, Axel & Luis Vega. (2009). Local well-posedness for the modified KdV equation in almost critical $\widehat {H^r_s}$-spaces. Transactions of the American Mathematical Society. 361(11). 5681–5694. 16 indexed citations
7.
Grünrock, Axel & Hartmut Pecher. (2009). Global Solutions for the Dirac–Klein–Gordon System in Two Space Dimensions. Communications in Partial Differential Equations. 35(1). 89–112. 13 indexed citations
8.
Grünrock, Axel. (2009). Bilinear space–time estimates for linearised KP-type equations on the three-dimensional torus with applications. Journal of Mathematical Analysis and Applications. 357(2). 330–339. 2 indexed citations
9.
Grünrock, Axel & Sebastian Herr. (2008). Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data. SIAM Journal on Mathematical Analysis. 39(6). 1890–1920. 50 indexed citations
10.
Grünrock, Axel, et al.. (2007). A remark on global well-posedness below $L^2$ for the GKDV-3 equation. Differential and Integral Equations. 20(11). 5 indexed citations
11.
Grünrock, Axel & Hartmut Pecher. (2006). Bounds in time for the Klein-Gordon-Schr\"odinger and the Zakharov system. Hokkaido Mathematical Journal. 35(1). 2 indexed citations
12.
Grünrock, Axel. (2005). . International Mathematics Research Notices. 2005(41). 2525–2525. 53 indexed citations
13.
Grünrock, Axel. (2005). A bilinear Airy-estimate with application to gKdV-3. Differential and Integral Equations. 18(12). 27 indexed citations
14.
Grünrock, Axel. (2004). . International Mathematics Research Notices. 2004(61). 3287–3287. 46 indexed citations
15.
Grünrock, Axel. (2002). New applications of the Fourier restriction norm method to wellposedness problems for nonlinear evolution equations. 26 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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