François Trèves

6.3k total citations · 1 hit paper
96 papers, 3.2k citations indexed

About

François Trèves is a scholar working on Mathematical Physics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, François Trèves has authored 96 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Mathematical Physics, 41 papers in Applied Mathematics and 20 papers in Numerical Analysis. Recurrent topics in François Trèves's work include advanced mathematical theories (20 papers), Differential Equations and Boundary Problems (15 papers) and Numerical methods for differential equations (14 papers). François Trèves is often cited by papers focused on advanced mathematical theories (20 papers), Differential Equations and Boundary Problems (15 papers) and Numerical methods for differential equations (14 papers). François Trèves collaborates with scholars based in United States, Netherlands and France. François Trèves's co-authors include M. S. Baouendi, Louis Nirenberg, L. Boutet de Monvel, Howard Jacobowitz, Nicholas Hanges, Paulo D. Cordaro, Sagun Chanillo, Antonio Bove, Stanly Steinberg and Gerald Warnecke and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

François Trèves

91 papers receiving 2.4k citations

Hit Papers

Introduction to Pseudodifferential and Fourier Integral O... 1980 2026 1995 2010 1980 200 400 600
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. Introduction to Pseudodifferential and Fourier Integral Operators
    1980 644 citations François Trèves 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
François Trèves United States 27 2.0k 1.7k 761 584 275 96 3.2k
Richard Melrose United States 32 1.8k 0.9× 2.7k 1.6× 773 1.0× 692 1.2× 452 1.6× 90 3.6k
F. W. Warner United States 14 1.6k 0.8× 840 0.5× 934 1.2× 717 1.2× 299 1.1× 20 2.7k
John B. Garnett United States 21 3.0k 1.5× 1.5k 0.9× 1.1k 1.4× 458 0.8× 162 0.6× 49 3.8k
Richard S. Palais United States 28 2.0k 1.0× 2.0k 1.1× 1.9k 2.5× 851 1.5× 579 2.1× 64 4.4k
Herbert Fédérer United States 17 2.1k 1.0× 968 0.6× 1.3k 1.7× 928 1.6× 129 0.5× 38 3.3k
T. W. Gamelin United States 23 2.1k 1.1× 1.8k 1.0× 861 1.1× 591 1.0× 190 0.7× 60 3.5k
Н. И. Ахиезер United States 7 860 0.4× 953 0.6× 247 0.3× 622 1.1× 556 2.0× 12 2.4k
Lipman Bers United States 28 1.8k 0.9× 1.3k 0.7× 1.8k 2.3× 534 0.9× 237 0.9× 75 3.2k
Jaak Peetre Sweden 26 2.8k 1.4× 1.8k 1.0× 301 0.4× 598 1.0× 65 0.2× 104 3.3k
Seymour Goldberg United States 17 1.1k 0.5× 1.1k 0.6× 169 0.2× 807 1.4× 244 0.9× 43 2.3k

Countries citing papers authored by François Trèves

Since Specialization
Citations

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

Fields of papers citing papers by François Trèves

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of François Trèves

This figure shows the co-authorship network connecting the top 25 collaborators of François Trèves. A scholar is included among the top collaborators of François Trèves 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 François Trèves. François Trèves 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.
Trèves, François. (2012). On the solvability of planar complex linear vector fields. Transactions of the American Mathematical Society. 364(9). 4629–4662. 1 indexed citations
2.
Trèves, François. (2009). On the solvability of vector fields with real linear coefficients. Proceedings of the American Mathematical Society. 137(12). 4209–4218. 4 indexed citations
3.
Trèves, François. (2006). Topological vector spaces, distributions and kernels. CERN Document Server (European Organization for Nuclear Research). 410 indexed citations
4.
Trèves, François. (2001). An algebraic characterization of the Korteweg-de Vries hierarchy. Duke Mathematical Journal. 108(2). 4 indexed citations
5.
Trèves, François. (1995). Parametrices for a class of schrodinger equations. Communications on Pure and Applied Mathematics. 48(1). 13–78. 8 indexed citations
6.
Cordaro, Paulo D., Simon Gindikin, & François Trèves. (1995). Boundary Values of Cohomology Classes as Hyperfunctions. Journal of Functional Analysis. 131(1). 183–227.
7.
Cordaro, Paulo D. & François Trèves. (1994). Hyperfunctions on hypo-analytic manifolds. Princeton University Press eBooks. 13 indexed citations
8.
Ben‐Artzi, Matania & François Trèves. (1994). Uniform Estimates for a Class of Evolution Equations. Journal of Functional Analysis. 120(2). 264–299. 8 indexed citations
9.
Hanges, Nicholas & François Trèves. (1992). On the analyticity of solutions of first-order nonlinear PDE. Transactions of the American Mathematical Society. 331(2). 627–638. 11 indexed citations
10.
Trèves, François, et al.. (1985). Pseudodifferential Operators and Applications. 30 indexed citations
11.
Trèves, François. (1976). Integral representation of solutions of first-order linear partial differential equations, I. French digital mathematics library (Numdam). 3(1). 1–35. 12 indexed citations
12.
Trèves, François. (1976). Solution of cauchy problems modulo flat functions. Communications in Partial Differential Equations. 1(1). 45–72. 9 indexed citations
13.
Trèves, François, et al.. (1974). First-order linear PDEs and uniqueness in the Cauchy problem. Journal of Differential Equations. 15(1). 195–209. 21 indexed citations
14.
Trèves, François. (1974). Discrete phenomena in uniqueness in the Cauchy problem. Proceedings of the American Mathematical Society. 46(2). 229–233. 15 indexed citations
15.
Trèves, François. (1974). Discrete Phenomena in Uniqueness in the Cauchy Problem. Proceedings of the American Mathematical Society. 46(2). 229–229. 12 indexed citations
16.
Trèves, François. (1972). Approximate solutions to Cauchy problems. Journal of Differential Equations. 11(2). 349–363. 6 indexed citations
17.
Trèves, François. (1971). Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions. Communications on Pure and Applied Mathematics. 24(5). 631–670. 19 indexed citations
18.
Trèves, François. (1968). Ovcyannikov theorem and hyperdifferential operators. University Microfilms International eBooks. 54 indexed citations
19.
Trèves, François. (1966). Linear partial differential equations with constant coefficients : existence, approximation, and regularity of solutions. CERN Document Server (European Organization for Nuclear Research). 44 indexed citations
20.
Trèves, François. (1956). Thèse d'Hörmander, II. French digital mathematics library (Numdam). 3. 323–332. 1 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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