Roland Donninger

636 total citations
23 papers, 283 citations indexed

About

Roland Donninger is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Roland Donninger has authored 23 papers receiving a total of 283 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Mathematical Physics, 11 papers in Statistical and Nonlinear Physics and 9 papers in Applied Mathematics. Recurrent topics in Roland Donninger's work include Advanced Mathematical Physics Problems (21 papers), Navier-Stokes equation solutions (7 papers) and Stability and Controllability of Differential Equations (7 papers). Roland Donninger is often cited by papers focused on Advanced Mathematical Physics Problems (21 papers), Navier-Stokes equation solutions (7 papers) and Stability and Controllability of Differential Equations (7 papers). Roland Donninger collaborates with scholars based in Austria, United States and Switzerland. Roland Donninger's co-authors include Wilhelm Schlag, Avy Soffer, Joachim Krieger, Ovidiu Costin, Xin Xia, P. C. Aichelburg and Anıl Zenginoğlu and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Roland Donninger

22 papers receiving 261 citations

Peers

Roland Donninger

NHEP

SNP

Kimitoshi Tsutaya Japan

Achenef Tesfahun Norway

Benjamin Dodson United States

Modesto Salgado Spain

Dietrich Häfner France

Sebastian Herr Germany

T. Tao United States

Jared Speck United States

Damiano Foschi Italy

Fábio Natali Brazil

Kimitoshi Tsutaya Japan

Roland Donninger

306 ×1.3

37 ×0.4

NHEP

164 ×1.8

SNP

118 ×1.5

8 ×0.1

Citations per year, relative to Roland Donninger Roland Donninger (= 1×) peers Kimitoshi Tsutaya

Countries citing papers authored by Roland Donninger

Since Specialization

Citations

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

Fields of papers citing papers by Roland Donninger

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Roland Donninger

This figure shows the co-authorship network connecting the top 25 collaborators of Roland Donninger. A scholar is included among the top collaborators of Roland Donninger 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 Roland Donninger. Roland Donninger 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

Donninger, Roland. (2024). Spectral theory and self-similar blowup in wave equations. Bulletin of the American Mathematical Society. 61(4). 659–685.

Donninger, Roland, et al.. (2024). Co-Dimension One Stable Blowup for the Quadratic Wave Equation Beyond the Light Cone. Communications in Mathematical Physics. 405(2). 1 indexed citations

Donninger, Roland, et al.. (2023). A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory. Communications in Partial Differential Equations. 48(9). 1148–1213. 5 indexed citations

Donninger, Roland, et al.. (2023). Optimal blowup stability for supercritical wave maps. Advances in Mathematics. 433. 109291–109291. 2 indexed citations

Donninger, Roland, et al.. (2020). Blowup stability at optimal regularity for the critical wave equation. Advances in Mathematics. 370. 107219–107219. 5 indexed citations

Donninger, Roland, et al.. (2017). On blowup of co-rotational wave maps in odd space dimensions. Journal of Differential Equations. 263(8). 5090–5119. 5 indexed citations

Costin, Ovidiu, Roland Donninger, & Xin Xia. (2016). A proof for the mode stability of a self-similar wave map. Nonlinearity. 29(8). 2451–2473. 10 indexed citations

Costin, Ovidiu, et al.. (2016). On the Stability of Self-Similar Solutions to Nonlinear Wave Equations. Communications in Mathematical Physics. 343(1). 299–310. 12 indexed citations

Donninger, Roland, et al.. (2015). A spectral mapping theorem for perturbed Ornstein–Uhlenbeck operators on L2(Rd). Journal of Functional Analysis. 268(9). 2479–2524. 5 indexed citations

10.

Donninger, Roland & Joachim Krieger. (2015). A vector field method on the distorted Fourier side and decay for wave equations with potentials. Memoirs of the American Mathematical Society. 241(1142). 0–0. 7 indexed citations

11.

Donninger, Roland & Anıl Zenginoğlu. (2014). Nondispersive decay for the cubic wave equation. Analysis & PDE. 7(2). 461–495. 3 indexed citations

12.

Donninger, Roland. (2014). Stable self-similar blowup in energy supercritical Yang–Mills theory. Mathematische Zeitschrift. 278(3-4). 1005–1032. 11 indexed citations

13.

Donninger, Roland, et al.. (2014). Exotic blowup solutions for the u5 focusing wave equation in ℝ3. The Michigan Mathematical Journal. 63(3). 15 indexed citations

14.

Donninger, Roland, et al.. (2013). Stable blow up dynamics for energy supercritical wave equations. Transactions of the American Mathematical Society. 366(4). 2167–2189. 30 indexed citations

15.

Donninger, Roland, Wilhelm Schlag, & Avy Soffer. (2011). On Pointwise Decay of Linear Waves on a Schwarzschild Black Hole Background. Communications in Mathematical Physics. 309(1). 51–86. 55 indexed citations

16.

Donninger, Roland. (2011). On stable self-similar blowup for equivariant wave maps. Communications on Pure and Applied Mathematics. 64(8). 1095–1147. 31 indexed citations

17.

Donninger, Roland & Wilhelm Schlag. (2011). Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein–Gordon equation. Nonlinearity. 24(9). 2547–2562. 11 indexed citations

18.

Donninger, Roland, Wilhelm Schlag, & Avy Soffer. (2010). A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta. Advances in Mathematics. 226(1). 484–540. 45 indexed citations

19.

Donninger, Roland. (2010). The radial wave operator in similarity coordinates. Journal of Mathematical Physics. 51(2). 4 indexed citations

20.

Donninger, Roland & P. C. Aichelburg. (2009). SPECTRAL PROPERTIES AND LINEAR STABILITY OF SELF-SIMILAR WAVE MAPS. Journal of Hyperbolic Differential Equations. 6(2). 359–370. 3 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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