Murray H. Protter

5.4k total citations · 1 hit paper
55 papers, 3.5k citations indexed

About

Murray H. Protter is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Murray H. Protter has authored 55 papers receiving a total of 3.5k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Applied Mathematics, 24 papers in Mathematical Physics and 21 papers in Computational Theory and Mathematics. Recurrent topics in Murray H. Protter's work include Differential Equations and Boundary Problems (20 papers), Advanced Mathematical Modeling in Engineering (19 papers) and advanced mathematical theories (7 papers). Murray H. Protter is often cited by papers focused on Differential Equations and Boundary Problems (20 papers), Advanced Mathematical Modeling in Engineering (19 papers) and advanced mathematical theories (7 papers). Murray H. Protter collaborates with scholars based in United States. Murray H. Protter's co-authors include Hans F. Weinberger, Charles B. Morrey, Milton Lees, Albert A. Mullin, Howard A. Levine, L. E. Payne, Gerald N. Hile, Philip Protter, H. M. MacNeille and Chris Cosner and has published in prestigious journals such as Annals of Mathematics, American Journal of Physics and SIAM Review.

In The Last Decade

Murray H. Protter

52 papers receiving 2.9k citations

Hit Papers

Maximum Principles in Differential Equations 1984 2026 1998 2012 1984 500 1000 1.5k 2.0k
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. Maximum Principles in Differential Equations
    1984 2.3k citations Murray H. Protter, Hans F. Weinberger CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Murray H. Protter United States 20 1.7k 1.4k 1.0k 599 516 55 3.5k
D. G. Aronson United States 25 1.9k 1.2× 1.4k 1.1× 1.2k 1.1× 653 1.1× 1.1k 2.2× 70 5.0k
Earl A. Coddington United States 17 1.7k 1.0× 1.4k 1.1× 1.8k 1.7× 1.0k 1.7× 322 0.6× 37 5.4k
John S. Maybee United States 17 1.4k 0.8× 1.5k 1.1× 932 0.9× 552 0.9× 239 0.5× 67 3.3k
Wolfgang Walter Germany 27 1.6k 0.9× 1.2k 0.9× 641 0.6× 799 1.3× 248 0.5× 118 3.4k
Norman Levinson United States 21 1.8k 1.1× 1.3k 1.0× 1.6k 1.6× 1.2k 2.1× 280 0.5× 74 5.7k
A. C. Lazer United States 35 2.9k 1.7× 1.8k 1.4× 805 0.8× 1.2k 1.9× 646 1.3× 92 4.2k
O. Ladyženskaja United Kingdom 2 2.9k 1.7× 2.6k 1.9× 1.8k 1.7× 899 1.5× 466 0.9× 4 5.5k
D. H. Sattinger United States 28 1.5k 0.9× 1.0k 0.7× 1.5k 1.5× 545 0.9× 444 0.9× 74 4.7k
H.L. Platzer 10 1.2k 0.7× 982 0.7× 1.1k 1.1× 914 1.5× 265 0.5× 15 4.7k
Leo F. Boron 11 2.5k 1.5× 1.2k 0.9× 1.2k 1.2× 775 1.3× 203 0.4× 20 3.8k

Countries citing papers authored by Murray H. Protter

Since Specialization
Citations

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

Fields of papers citing papers by Murray H. Protter

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Murray H. Protter. 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 Murray H. Protter. The network helps show where Murray H. Protter may publish in the future.

Co-authorship network of co-authors of Murray H. Protter

This figure shows the co-authorship network connecting the top 25 collaborators of Murray H. Protter. A scholar is included among the top collaborators of Murray H. Protter 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 Murray H. Protter. Murray H. Protter 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.
Protter, Murray H.. (1998). Basic Elements of Real Analysis. Undergraduate texts in mathematics. 10 indexed citations
2.
Protter, Murray H.. (1987). The Boundary Value Problems of Mathematical Physics (O. A. Ladyzhenskaya). SIAM Review. 29(2). 334–335. 1 indexed citations
3.
Cosner, Chris & Murray H. Protter. (1985). Bounds for the spectrum and the norm of solutions of nonlinear elliptic equations and systems. Journal of Differential Equations. 56(2). 270–289. 1 indexed citations
4.
Protter, Murray H. & Charles B. Morrey. (1985). Intermediate Calculus. Undergraduate texts in mathematics. 32 indexed citations
5.
Protter, Murray H. & Hans F. Weinberger. (1984). Maximum Principles in Differential Equations. CERN Document Server (European Organization for Nuclear Research). 2322 indexed citations breakdown →
6.
Protter, Murray H., et al.. (1983). A Regularity Theorem for a Singular Elliptic Equation. Applicable Analysis. 14(3). 223–236. 2 indexed citations
7.
Protter, Murray H., et al.. (1983). Gradient bounds for weakly coupled nonlinear elliptic systems. Applicable Analysis. 16(1). 51–70. 2 indexed citations
8.
Protter, Murray H., et al.. (1977). Maximum principles for a class of first-order elliptical systems. Journal of Differential Equations. 24(1). 136–151. 12 indexed citations
9.
Protter, Murray H., et al.. (1976). Unique continuation and the cauchy problem for first order systems of partial differential equations. Communications in Partial Differential Equations. 1(5). 437–465. 17 indexed citations
10.
Protter, Murray H., et al.. (1973). The asymptotic behavior of solutions of second order systems of partial differential equations. Journal of Differential Equations. 13(1). 57–80. 11 indexed citations
11.
Protter, Murray H. & Hans F. Weinberger. (1973). A Maximum Principle and Gradient Bounds for Linear Elliptic Equations. Indiana University Mathematics Journal. 23(3). 239–249. 14 indexed citations
12.
Protter, Murray H. & Charles B. Morrey. (1971). Calculus with analytic geometry : a second course. Addison-Wesley Pub. Co. eBooks. 1 indexed citations
13.
Protter, Murray H. & Hans F. Weinberger. (1966). On the spectrum of general second order operators. Bulletin of the American Mathematical Society. 72(2). 251–256. 76 indexed citations
14.
Protter, Murray H. & Hans F. Weinberger. (1965). On the Capacity of Composite Conductors. Journal of Mathematics and Physics. 44(1-4). 375–383. 2 indexed citations
15.
Protter, Murray H., Charles B. Morrey, & Albert A. Mullin. (1965). Modern Mathematical Analysis. American Journal of Physics. 33(5). 419–419. 54 indexed citations
16.
Protter, Murray H.. (1961). Properties of Solutions of Parabolic Equations and Inequalities. Canadian Journal of Mathematics. 13. 331–345. 37 indexed citations
17.
Protter, Murray H., et al.. (1960). Bounds for the First Eigenvalue of a Rhombic Membrane. Journal of Mathematics and Physics. 39(1-4). 18–34. 13 indexed citations
18.
Protter, Murray H.. (1958). A maximum principle for hyperbolic equations in a neighborhood of an initial line. Transactions of the American Mathematical Society. 87(1). 119–129. 8 indexed citations
19.
Protter, Murray H.. (1954). The two noncharacteristic problem with data partly on the parabolic line. Pacific Journal of Mathematics. 4(1). 99–108. 14 indexed citations
20.
Protter, Murray H.. (1951). A boundary value problem for an equation of mixed type. Transactions of the American Mathematical Society. 71(3). 416–429. 13 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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