Guy Barles

9.4k total citations · 1 hit paper
112 papers, 5.5k citations indexed

About

Guy Barles is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Modeling and Simulation. According to data from OpenAlex, Guy Barles has authored 112 papers receiving a total of 5.5k indexed citations (citations by other indexed papers that have themselves been cited), including 74 papers in Applied Mathematics, 60 papers in Computational Theory and Mathematics and 23 papers in Modeling and Simulation. Recurrent topics in Guy Barles's work include Nonlinear Partial Differential Equations (60 papers), Advanced Mathematical Modeling in Engineering (47 papers) and Stochastic processes and financial applications (22 papers). Guy Barles is often cited by papers focused on Nonlinear Partial Differential Equations (60 papers), Advanced Mathematical Modeling in Engineering (47 papers) and Stochastic processes and financial applications (22 papers). Guy Barles collaborates with scholars based in France, United States and Italy. Guy Barles's co-authors include Panagiotis E. Souganidis, Benoı̂t Perthame, Cyril Imbert, H. Meté Soner, Espen R. Jakobsen, Emmanuel Chasseigne, Rainer Buckdahn, Étienne Pardoux, Jérôme Busca and Olivier Ley and has published in prestigious journals such as Mathematics of Computation, Journal of Theoretical Biology and SIAM Journal on Numerical Analysis.

In The Last Decade

Guy Barles

111 papers receiving 5.0k citations

Hit Papers

Convergence of approximation schemes for fully nonlinear ... 1991 2026 2002 2014 1991 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. Convergence of approximation schemes for fully nonlinear second order equations
    1991 608 citations Guy Barles, Panagiotis E. Souganidis Asymptotic Analysis profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Guy Barles France 39 2.5k 2.1k 1.9k 863 862 112 5.5k
Pierre-Louis Lions France 15 1.9k 0.8× 1.4k 0.7× 2.0k 1.1× 770 0.9× 855 1.0× 20 5.4k
Panagiotis E. Souganidis United States 39 2.2k 0.9× 2.0k 0.9× 1.2k 0.6× 850 1.0× 1.3k 1.5× 130 5.7k
Н. В. Крылов United States 38 3.3k 1.3× 2.6k 1.2× 3.0k 1.6× 462 0.5× 2.0k 2.3× 200 6.5k
Étienne Pardoux France 38 1.2k 0.5× 1.3k 0.6× 4.9k 2.7× 791 0.9× 1.3k 1.5× 138 6.5k
H. Meté Soner United States 38 1.5k 0.6× 1.3k 0.6× 3.4k 1.9× 399 0.5× 669 0.8× 132 6.7k
Jiongmin Yong United States 37 1.1k 0.4× 1.4k 0.7× 3.8k 2.1× 848 1.0× 636 0.7× 164 6.3k
Jerzy Zabczyk Poland 31 2.5k 1.0× 2.6k 1.2× 4.5k 2.4× 1.0k 1.2× 2.0k 2.3× 92 7.7k
Martino Bardi Italy 21 929 0.4× 1.2k 0.6× 568 0.3× 366 0.4× 324 0.4× 60 3.0k
Viorel Barbu Romania 36 2.6k 1.0× 4.0k 1.9× 877 0.5× 599 0.7× 1.8k 2.1× 237 6.7k
Shigē Péng China 41 1.3k 0.5× 819 0.4× 8.3k 4.5× 1.2k 1.4× 882 1.0× 103 9.4k

Countries citing papers authored by Guy Barles

Since Specialization
Citations

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

Fields of papers citing papers by Guy Barles

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Guy Barles

This figure shows the co-authorship network connecting the top 25 collaborators of Guy Barles. A scholar is included among the top collaborators of Guy Barles 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 Guy Barles. Guy Barles 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.
Barles, Guy & Emmanuel Chasseigne. (2023). On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities. 6 indexed citations
2.
Barles, Guy, et al.. (2017). Large Time Behavior of Unbounded Solutions of First-Order Hamilton-Jacobi Equations in~$\\R^N$. HAL (Le Centre pour la Communication Scientifique Directe). 1 indexed citations
3.
Barles, Guy, et al.. (2016). Flux-limited and classical viscosity solutions for regional control\n problems. arXiv (Cornell University). 7 indexed citations
4.
Casas, Jérôme, et al.. (2015). Bistability induced by generalist natural enemies can reverse pest\n invasions. arXiv (Cornell University). 13 indexed citations
5.
Barles, Guy, et al.. (2015). Global continuation beyond singularities on the boundary for a degenerate diffusive Hamilton–Jacobi equation. Journal de Mathématiques Pures et Appliquées. 104(2). 383–402. 3 indexed citations
6.
Barles, Guy, et al.. (2013). On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations. Journal of Differential Equations. 256(4). 1368–1394. 18 indexed citations
7.
Barles, Guy, et al.. (2012). Lipschitz regularity of solutions for mixed integro-differential equations. Journal of Differential Equations. 252(11). 6012–6060. 58 indexed citations
8.
Barles, Guy, Annalisa Cesaroni, & Matteo Novaga. (2011). Homogenization of fronts in highly heterogeneous media. HAL (Le Centre pour la Communication Scientifique Directe). 9 indexed citations
9.
Lescoat, Philippe, et al.. (2011). Mathematical modeling of transport and degradation of feedstuffs in the small intestine. Journal of Theoretical Biology. 294. 114–121. 22 indexed citations
10.
Barles, Guy, et al.. (2010). On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton–Jacobi equations. Journal de Mathématiques Pures et Appliquées. 94(5). 497–519. 25 indexed citations
11.
Imbert, Cyril, Emmanuel Chasseigne, & Guy Barles. (2009). On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations. Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine). 78 indexed citations
12.
Barles, Guy. (2006). A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time. Comptes Rendus Mathématique. 343(3). 173–178. 16 indexed citations
13.
Barles, Guy & Francesca Da Lio. (2005). LocalC0,αestimates for viscosity solutions of Neumann-type boundary value problems. Journal of Differential Equations. 225(1). 202–241. 9 indexed citations
14.
Barles, Guy, et al.. (1999). Remarks on the maximum principle for nonlinear elliptic PDEs with quadratic growth conditions. French digital mathematics library (Numdam). 28(3). 381–404. 23 indexed citations
15.
Barles, Guy. (1999). Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications. Journal of Differential Equations. 154(1). 191–224. 63 indexed citations
16.
Barles, Guy & H. Meté Soner. (1998). Option Pricing with Transaction Costs and a Nonlinear Black Scholes Equation. SSRN Electronic Journal. 13 indexed citations
17.
Rogers, L. C. G., Guy Barles, Nigel J. Newton, et al.. (1997). Numerical Methods in Finance. Cambridge University Press eBooks. 125 indexed citations
18.
Barles, Guy. (1994). Solutions de viscosité des équations de Hamilton-Jacobi. Springer eBooks. 424 indexed citations
19.
Barles, Guy. (1993). Fully Non-linear Neumann Type Boundary Conditions for Second-Order Elliptic and Parabolic Equations. Journal of Differential Equations. 106(1). 90–106. 53 indexed citations
20.
Barles, Guy & Panagiotis E. Souganidis. (1991). Convergence of approximation schemes for fully nonlinear second order equations. Asymptotic Analysis. 4(3). 271–283. 608 indexed citations breakdown →

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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