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.
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
2013449 citationsR. E. ShowalterMathematical surveys and monographsprofile →
Peers — A (Enhanced Table)
Peers by citation overlap · career bar shows stage (early→late)
cites ·
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Countries citing papers authored by R. E. Showalter
Since
Specialization
Citations
This map shows the geographic impact of R. E. Showalter'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. E. Showalter with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites R. E. Showalter more than expected).
This network shows the impact of papers produced by R. E. Showalter. 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. E. Showalter. The network helps show where R. E. Showalter may publish in the future.
Co-authorship network of co-authors of R. E. Showalter
This figure shows the co-authorship network connecting the top 25 collaborators of R. E. Showalter.
A scholar is included among the top collaborators of R. E. Showalter 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. E. Showalter. R. E. Showalter 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.
Peszyńska, Małgorzata, et al.. (2015). Flow and transport when scales are not separated: Numerical analysis and simulations of micro- and macro-models. DigitalCommons@UTEP (The University of Texas at El Paso). 12(3). 476–515.2 indexed citations
2.
Nguetseng, Gabriel, R. E. Showalter, & Jean Louis Woukeng. (2014). Diffusion of a single-phase fluid through a general deterministic partially-fissured medium. SHILAP Revista de lepidopterología.3 indexed citations
3.
Showalter, R. E.. (2013). Monotone Operators in Banach Space and Nonlinear Partial Differential Equations. Mathematical surveys and monographs.449 indexed citations breakdown →
Showalter, R. E. & Małgorzata Peszyńska. (2007). Multiscale elliptic-parabolic systems for flow and transport. SHILAP Revista de lepidopterología.16 indexed citations
Showalter, R. E., et al.. (1999). TWO-SCALE CONVERGENCE OF A MODEL FOR FLOW IN A PARTIALLY FISSURED MEDIUM. Electronic Journal of Differential Equations. 1999(2).34 indexed citations
11.
Showalter, R. E. & Peter Shi. (1997). Plasticity Models and Nonlinear Semigroups. Journal of Mathematical Analysis and Applications. 216(1). 218–245.8 indexed citations
Hornung, Ulrich & R. E. Showalter. (1990). Diffusion models for fractured media. Journal of Mathematical Analysis and Applications. 147(1). 69–80.64 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.