Avron Douglis

5.8k total citations · 2 hit papers
18 papers, 4.0k citations indexed

About

Avron Douglis is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Avron Douglis has authored 18 papers receiving a total of 4.0k indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Applied Mathematics, 9 papers in Computational Theory and Mathematics and 7 papers in Mathematical Physics. Recurrent topics in Avron Douglis's work include Advanced Mathematical Modeling in Engineering (8 papers), Differential Equations and Boundary Problems (8 papers) and Differential Equations and Numerical Methods (4 papers). Avron Douglis is often cited by papers focused on Advanced Mathematical Modeling in Engineering (8 papers), Differential Equations and Boundary Problems (8 papers) and Differential Equations and Numerical Methods (4 papers). Avron Douglis collaborates with scholars based in United States and Italy. Avron Douglis's co-authors include Louis Nirenberg, Shmuel Agmon, Giovanni Alessandrini and Eugene B. Fabes and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Journal of Differential Equations and Annales de l’institut Fourier.

In The Last Decade

Avron Douglis

16 papers receiving 3.1k citations

Hit Papers

Estimates near the boundary for solutions of elliptic par... 1959 2026 1981 2003 1959 1964 500 1000 1.5k 2.0k 2.5k
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. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
    1959 2.5k citations Shmuel Agmon, Avron Douglis et al. Communications on Pure and Applied Mathematics profile →
  2. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
    1964 936 citations Shmuel Agmon, Avron Douglis et al. Communications on Pure and Applied Mathematics profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Avron Douglis United States 10 2.4k 2.0k 1.3k 883 553 18 4.0k
O. A. Ladyzhenskai︠a︡ Russia 10 4.0k 1.7× 3.7k 1.8× 2.3k 1.8× 925 1.0× 456 0.8× 19 6.5k
Luc Tartar United States 20 1.8k 0.7× 1.8k 0.9× 1.0k 0.8× 804 0.9× 669 1.2× 48 3.2k
William P. Ziemer United States 28 3.1k 1.3× 1.9k 1.0× 1.4k 1.1× 385 0.4× 266 0.5× 85 4.1k
Fritz John United States 27 1.2k 0.5× 564 0.3× 1.4k 1.1× 375 0.4× 538 1.0× 56 3.1k
Enrico Giusti Italy 21 3.0k 1.2× 2.2k 1.1× 1.3k 1.0× 412 0.5× 257 0.5× 55 4.1k
Jacques Simon France 18 1.9k 0.8× 1.7k 0.9× 1.3k 1.0× 821 0.9× 234 0.4× 48 3.8k
O. A. Ladyzhenskaya Russia 20 2.6k 1.1× 2.1k 1.1× 1.8k 1.4× 1.7k 1.9× 599 1.1× 84 5.3k
François Murat France 31 3.0k 1.2× 3.1k 1.6× 1.7k 1.3× 1.2k 1.3× 1.1k 1.9× 105 5.0k
Vladimir Maz’ya Sweden 38 3.5k 1.4× 3.4k 1.7× 2.3k 1.8× 986 1.1× 1.1k 2.0× 284 6.0k
Mariano Giaquinta Italy 35 3.7k 1.5× 3.0k 1.5× 1.5k 1.2× 390 0.4× 404 0.7× 92 5.0k

Countries citing papers authored by Avron Douglis

Since Specialization
Citations

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

Fields of papers citing papers by Avron Douglis

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Avron Douglis

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

All Works

18 of 18 papers shown
1.
Alessandrini, Giovanni, Avron Douglis, & Eugene B. Fabes. (1983). An approximate layering method for the Navier-Stokes equations in bounded cylinders. Annali di Matematica Pura ed Applicata (1923 -). 135(1). 329–347. 6 indexed citations
2.
Douglis, Avron. (1979). An approximate layering method for multi-dimensional nonlinear parabolic systems of a certain type. French digital mathematics library (Numdam). 6(2). 193–283. 2 indexed citations
3.
Douglis, Avron. (1978). Book Review: The wave equation on a curved space-time. Bulletin of the American Mathematical Society. 84(2). 222–229. 2 indexed citations
4.
Douglis, Avron. (1972). Layering methods for nonlinear partial differential equations of first order. Annales de l’institut Fourier. 22(3). 141–227. 11 indexed citations
5.
Douglis, Avron. (1965). Properties of weak solutions of generalized radial transport equations. Journal of Differential Equations. 1(2). 240–272.
6.
Douglis, Avron. (1965). Solutions in the large for multi-dimensional non linear partial differential equations of first order. Annales de l’institut Fourier. 15(2). 1–35. 19 indexed citations
7.
Agmon, Shmuel, Avron Douglis, & Louis Nirenberg. (1964). Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II. Communications on Pure and Applied Mathematics. 17(1). 35–92. 936 indexed citations breakdown →
8.
Douglis, Avron. (1961). The continuous dependence of generalized solutions of non‐linear partial differential equations upon initial data. Communications on Pure and Applied Mathematics. 14(3). 267–284. 27 indexed citations
9.
Douglis, Avron. (1959). An ordering principle and generalized solutions of certain quasi‐linear partial differential equations. Communications on Pure and Applied Mathematics. 12(1). 87–112. 18 indexed citations
10.
Agmon, Shmuel, Avron Douglis, & Louis Nirenberg. (1959). Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Communications on Pure and Applied Mathematics. 12(4). 623–727. 2541 indexed citations breakdown →
11.
Douglis, Avron. (1958). Dirichlet's problem for linear elliptic partial differential equations of second and higher order. 1 indexed citations
12.
Douglis, Avron. (1956). A criterion for the validity of huygens' principle. Communications on Pure and Applied Mathematics. 9(3). 391–402. 3 indexed citations
13.
Douglis, Avron & Louis Nirenberg. (1955). Interior estimates for elliptic systems of partial differential equations. Communications on Pure and Applied Mathematics. 8(4). 503–538. 269 indexed citations
14.
Douglis, Avron. (1954). Observations on normal forms of linear hyperbolic equations of second order. Communications on Pure and Applied Mathematics. 7(4). 675–695. 1 indexed citations
15.
Douglis, Avron. (1954). The problem of cauchy for linear, hyperbolic equations of second order. Communications on Pure and Applied Mathematics. 7(2). 271–295. 9 indexed citations
16.
Douglis, Avron. (1953). Uniqueness in Cauchy problems for elliptic systems of equations. Communications on Pure and Applied Mathematics. 6(2). 291–298. 13 indexed citations
17.
Douglis, Avron. (1953). A function‐theoretic approach to elliptic systems of equations in two variables. Communications on Pure and Applied Mathematics. 6(2). 259–289. 75 indexed citations
18.
Douglis, Avron. (1952). Some existence theorems for hyperbolic systems of partial differential equations in two independent variables. Communications on Pure and Applied Mathematics. 5(2). 119–154. 67 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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