R. M. Brown

7.4k total citations · 1 hit paper
50 papers, 1.6k citations indexed

About

R. M. Brown is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, R. M. Brown has authored 50 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Computational Theory and Mathematics, 31 papers in Applied Mathematics and 22 papers in Mathematical Physics. Recurrent topics in R. M. Brown's work include Advanced Mathematical Modeling in Engineering (34 papers), Nonlinear Partial Differential Equations (20 papers) and Numerical methods in inverse problems (16 papers). R. M. Brown is often cited by papers focused on Advanced Mathematical Modeling in Engineering (34 papers), Nonlinear Partial Differential Equations (20 papers) and Numerical methods in inverse problems (16 papers). R. M. Brown collaborates with scholars based in United States, South Korea and Canada. R. M. Brown's co-authors include Mikko Salo, Günther Uhlmann, Zhongwei Shen, Don Hinton, Rodolfo H. Torres, Irina Mitrea, Peter D. Hislop, A. Martinez, Peter Perry and Marius Mitrea and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Differential Equations.

In The Last Decade

R. M. Brown

45 papers receiving 1.4k citations

Hit Papers

align trajectories

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.

Identifiability at the boundary for first-order terms

2006 713 citations R. M. Brown et al. profile →

Peers

R. M. Brown

MP

CTM

AM

SP

SPS

Mikko Salo Finland

Robert C. Rogers United States

James E. West United States

David Clark United States

Wing‐Sum Cheung Hong Kong

Michelangelo Vianello Italy

Philipp Müller Germany

Robert Ellis United States

Jürg T. Marti Switzerland

William Vélez United States

Mikko Salo Finland

R. M. Brown

850 ×1.6

MP

506 ×1.0

CTM

289 ×0.7

AM

240 ×1.0

SP

192 ×1.0

SPS

Citations per year, relative to R. M. Brown R. M. Brown (= 1×) peers Mikko Salo

Countries citing papers authored by R. M. Brown

Since Specialization

Citations

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

Fields of papers citing papers by R. M. Brown

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. M. Brown. 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 R. M. Brown. The network helps show where R. M. Brown may publish in the future.

Co-authorship network of co-authors of R. M. Brown

This figure shows the co-authorship network connecting the top 25 collaborators of R. M. Brown. A scholar is included among the top collaborators of R. M. Brown 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 R. M. Brown. R. M. Brown 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

1.

Brown, R. M., et al.. (2022). Inverse boundary value problems for polyharmonic operators with non-smooth coefficients. Inverse Problems and Imaging. 16(4). 943–943. 2 indexed citations

2.

Brown, R. M. & Peter Perry. (2018). Soliton solutions and their (in)stability for the focusing Davey–Stewartson II equation. Nonlinearity. 31(9). 4290–4325. 2 indexed citations

3.

Brown, R. M., et al.. (2016). Action of a scattering map on weighted Sobolev spaces in the plane. Journal of Functional Analysis. 271(1). 85–106. 2 indexed citations

4.

Kim, Seick, et al.. (2014). Heat kernel for the elliptic system of linear elasticity with boundary conditions. Journal of Differential Equations. 257(7). 2485–2519.

5.

Brown, R. M., et al.. (2013). The mixed problem for the Lamé system in two dimensions. Journal of Differential Equations. 254(12). 4373–4400. 5 indexed citations

6.

Brown, R. M., et al.. (2010). Estimates for a family of multi-linear forms. Journal of Mathematical Analysis and Applications. 377(1). 79–87. 5 indexed citations

7.

Brown, R. M., et al.. (2009). Mixed boundary value problems for the Stokes system. Transactions of the American Mathematical Society. 362(3). 1211–1230. 29 indexed citations

8.

Brown, R. M. & Irina Mitrea. (2009). The mixed problem for the Lamé system in a class of Lipschitz domains. Journal of Differential Equations. 246(7). 2577–2589. 23 indexed citations

9.

Lanzani, Loredana, Luca Capogna, & R. M. Brown. (2008). The Mixed Problem in L <sup>p</sup> for Some Two-Dimensional Lipschitz Domains. Smith ScholarWorks (Smith College). 10 indexed citations

10.

Kong, Ping, et al.. (2006). Cosmogenic 10Be and 26Al dating of palaeo-lake shorelines on Tibet. AGU Fall Meeting Abstracts. 2006. 1 indexed citations

11.

Brown, R. M. & Wei Hu. (2000). Boundary value problems for higher order parabolic equations. Transactions of the American Mathematical Society. 353(2). 809–838. 3 indexed citations

12.

Brown, R. M., Peter D. Hislop, & A. Martinez. (1995). Eigenvalues and Resonances for Domains with Tubes: Neumann Boundary Conditions. Journal of Differential Equations. 115(2). 458–476. 29 indexed citations

13.

Brown, R. M.. (1993). The trace of the heat kernel in Lipschitz domains. Transactions of the American Mathematical Society. 339(2). 889–900. 10 indexed citations

14.

Brown, R. M., et al.. (1993). A note on boundary value problems for the heat equation in Lipschitz cylinders. Proceedings of the American Mathematical Society. 119(2). 585–594. 2 indexed citations

15.

Brown, R. M. & Don Hinton. (1993). Interpolation Inequalities with Power Weights for Functions of One Variable. Journal of Mathematical Analysis and Applications. 172(1). 233–242. 4 indexed citations

16.

Brown, R. M.. (1990). The initial-Neumann problem for the heat equation in Lipschitz cylinders. Transactions of the American Mathematical Society. 320(1). 1–52. 29 indexed citations

17.

Brown, R. M. & Zhongwei Shen. (1990). . Indiana University Mathematics Journal. 39(4). 1313–1313. 12 indexed citations

18.

Brown, R. M.. (1989). Area integral estimates for caloric functions. Transactions of the American Mathematical Society. 315(2). 565–589. 12 indexed citations

19.

Brown, R. M.. (1989). Area Integral Estimates for Caloric Functions. Transactions of the American Mathematical Society. 315(2). 565–565. 5 indexed citations

20.

Brown, R. M.. (1989). The Oblique Derivative Problem for the Heat Equation in Lipschitz Cylinders. Proceedings of the American Mathematical Society. 107(1). 237–237. 2 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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