Fritz John

7.9k total citations
56 papers, 3.1k citations indexed

About

Fritz John is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Fritz John has authored 56 papers receiving a total of 3.1k indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Mathematical Physics, 16 papers in Applied Mathematics and 15 papers in Computational Theory and Mathematics. Recurrent topics in Fritz John's work include Advanced Mathematical Modeling in Engineering (11 papers), Advanced Mathematical Physics Problems (11 papers) and Differential Equations and Numerical Methods (9 papers). Fritz John is often cited by papers focused on Advanced Mathematical Modeling in Engineering (11 papers), Advanced Mathematical Physics Problems (11 papers) and Differential Equations and Numerical Methods (9 papers). Fritz John collaborates with scholars based in United States. Fritz John's co-authors include Richard Courant, Lipman Bers, Salomon Bochner and Peter S. Ungar and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Mathematics of Computation and Communications on Pure and Applied Mathematics.

In The Last Decade

Fritz John

50 papers receiving 2.6k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Fritz John United States	27	1.4k	1.2k	732	564	538	56	3.1k
Victor J. Mizel United States	25	548 0.4×	839 0.7×	456 0.6×	871 1.5×	469 0.9×	91	2.3k
Lawrence Evans United States	8	788 0.5×	1.1k 0.9×	392 0.5×	941 1.7×	299 0.6×	9	2.9k
Avron Douglis United States	10	1.3k 0.9×	2.4k 1.9×	464 0.6×	2.0k 3.5×	553 1.0×	18	4.0k
Luc Tartar United States	20	1.0k 0.7×	1.8k 1.4×	363 0.5×	1.8k 3.1×	669 1.2×	48	3.2k
C. W. Groetsch United States	19	1.2k 0.9×	569 0.5×	128 0.2×	570 1.0×	420 0.8×	73	2.6k
F. G. Friedlander United Kingdom	18	851 0.6×	650 0.5×	188 0.3×	318 0.6×	159 0.3×	32	1.8k
A. H. Zemanian United States	20	587 0.4×	873 0.7×	329 0.4×	415 0.7×	113 0.2×	150	2.3k
Lawrence C. Evans United States	27	1.4k 1.0×	3.0k 2.4×	479 0.7×	2.4k 4.2×	298 0.6×	55	4.9k
O. A. Ladyzhenskaya Russia	20	1.8k 1.3×	2.6k 2.1×	1.8k 2.5×	2.1k 3.8×	599 1.1×	84	5.3k
Solomon G. Mikhlin United States	16	503 0.3×	601 0.5×	161 0.2×	572 1.0×	701 1.3×	35	2.2k

Countries citing papers authored by Fritz John

Since Specialization

Citations

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

Fields of papers citing papers by Fritz John

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Fritz John

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Courant, Richard & Fritz John. (1999). Introduction to Calculus and Analysis. CERN Document Server (European Organization for Nuclear Research). 56 indexed citations

John, Fritz, et al.. (1991). The Non-Discrimination Article in tax Treaties – II. 359–385. 3 indexed citations

John, Fritz. (1990). Nonlinear Wave Equations, Formation of Singularities. 127 indexed citations

John, Fritz. (1981). Research in Continuum Mechanics.. Defense Technical Information Center (DTIC). 1 indexed citations

John, Fritz. (1980). Nonexistence of global solutions of □ u = F ( u _tt ) and of □ v = F ′( v _t ) v _tt in three space dimensions. Proceedings of the National Academy of Sciences. 77(4). 1759–1760. 1 indexed citations

John, Fritz. (1979). Blow-up of solutions of nonlinear wave equations in three space dimensions. Proceedings of the National Academy of Sciences. 76(4). 1559–1560. 58 indexed citations

John, Fritz. (1977). Finite amplitude waves in a homogeneous isotropic elastic solid. Communications on Pure and Applied Mathematics. 30(4). 421–446. 24 indexed citations

John, Fritz. (1972). Uniqueness of non‐linear elastic equilibrium for prescribed boundary displacements and sufficiently small strains. Communications on Pure and Applied Mathematics. 25(5). 617–634. 42 indexed citations

John, Fritz. (1971). Refined interior equations for thin elastic shells. Communications on Pure and Applied Mathematics. 24(5). 583–615. 29 indexed citations

10.

John, Fritz. (1966). On symmetric matrices whose eigenvalues satisfy linear inequalities. Proceedings of the American Mathematical Society. 17(5). 1140–1145. 4 indexed citations

11.

John, Fritz. (1966). Plane elastic waves of finite amplitude. Hadamard materials and harmonic materials. Communications on Pure and Applied Mathematics. 19(3). 309–341. 57 indexed citations

12.

Courant, Richard, et al.. (1966). Introduction to Calculus and Analysis. Mathematics of Computation. 20(96). 634–634. 8 indexed citations

13.

Courant, Richard & Fritz John. (1965). Introduction to Calculus and Analysis Vol 1. 3 indexed citations

14.

John, Fritz. (1961). Rotation and strain. Communications on Pure and Applied Mathematics. 14(3). 391–413. 191 indexed citations

15.

John, Fritz. (1960). Plane strain problems for a perfectly elastic material of harmonic type. Communications on Pure and Applied Mathematics. 13(2). 239–296. 182 indexed citations

16.

John, Fritz. (1957). Non‐admissible data for differential equations with constant coefficients. Communications on Pure and Applied Mathematics. 10(3). 391–398. 6 indexed citations

17.

John, Fritz. (1957). Continuation and reflection of solutions of partial differential equations. Bulletin of the American Mathematical Society. 63(6). 327–344. 12 indexed citations

18.

John, Fritz. (1953). On behavior of solutions of partial differential equations.

19.

John, Fritz. (1953). Derivatives of continuous weak solutions of linear elliptic equations. Communications on Pure and Applied Mathematics. 6(3). 327–335. 10 indexed citations

20.

John, Fritz. (1952). On integration of parabolic equations by difference methods: I. Linear and quasi‐linear equations for the infinite interval. Communications on Pure and Applied Mathematics. 5(2). 155–211. 75 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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