D. E. Edmunds

3.1k citations

105 papers · 2.0k indexed · 1 hit paper · h-index 18

Impact in

Applied Mathematics top 0.2%
- Nonlinear Partial Differential Equations
- Advanced Harmonic Analysis Research
- Differential Equations and Boundary Problems
- Nonlinear Differential Equations Analysis
Mathematical Physics top 1%
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems

Papers in

Applied Mathematics 76
- Differential Equations and Boundary Problems 27
- Nonlinear Partial Differential Equations 25
- Advanced Harmonic Analysis Research 23
- Mathematical Analysis and Transform Methods 10
Mathematical Physics 44
- Advanced Banach Space Theory 15
- Spectral Theory in Mathematical Physics 14
- Numerical methods in inverse problems 10

Co-authors: Jiří Rákosník Ján Lang Donato Fortunato Enrico Jannelli Petr Gurka Hans Triebel H. Triebel Ramsay Dyer
Journals: Bulletin of the London Mathematical Society (13 papers)Journal of the London Mathematical Society (10 papers)Mathematische Nachrichten (7 papers)Journal of Approximation Theory (6 papers)Journal of Mathematical Analysis and Applications (5 papers)
Partner nations: United Kingdom United States Czechia

In The Last Decade

D. E. Edmunds

98 papers receiving 1.7k citations

Hit Papers

align trajectories log scale

MAXIMUM PRINCIPLES IN DIFFERENTIAL EQUATIONS 1969 · 531 citations

Peers

Countries citing papers authored by D. E. Edmunds

Since Specialization

Citations

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

Fields of papers citing papers by D. E. Edmunds

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by D. E. Edmunds. 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 D. E. Edmunds. The network helps show where D. E. Edmunds may publish in the future.

Co-authorship network

The 25 scholars most cited alongside D. E. Edmunds, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with D. E. Edmunds Line = papers co-authored together D. E. Edmunds links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	Behaviour of 𝐿_{𝑞} norms of the mch]_{j} function Proceedings of the American Mathematical Society ·D. E. Edmunds, Guillermo 1834-1894 1834-1894 Estrada y Villaverde	2018	0
2	Nuclearity and non-nuclearity of some Sobolev embeddings on domains Journal of Approximation Theory ·D. E. Edmunds, Petr Gurka, Ján Lang	2016	5
3	Non-nuclearity of a Sobolev embedding on an interval Journal of Approximation Theory ·D. E. Edmunds, Ján Lang	2013	4
4	Coincidence and Calculation of some Strict $s$-Numbers Zeitschrift für Analysis und ihre Anwendungen ·D. E. Edmunds, Ján Lang	2012	0
5	Entropy Numbers of Limiting Embeddings of Logarithmic Sobolev Spaces into Exponential Spaces Zeitschrift für Analysis und ihre Anwendungen ·D. E. Edmunds, Petr Gurka	2010	1
6	Bernstein widths of Hardy-type operators in a non-homogeneous case Journal of Mathematical Analysis and Applications ·D. E. Edmunds, Ján Lang	2006	6
7	Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case Journal of Functional Analysis ·D. E. Edmunds, Ján Lang	2003	14
8	Two-sided estimates of the approximation numbers of certain Volterra integral operators Studia Mathematica ·D. E. Edmunds, W. D. Evans, D.J. Harris	1997	30
9	Poincaré and Friedrichs inequalities in abstract Sobolev spaces Mathematical Proceedings of the Cambridge Philosophical Society ·D. E. Edmunds, Bohumı́r Opic, Luboš Pick	1993	4
10	Density of smooth functions in Wk, p(x) ( Ω ) Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences ·D. E. Edmunds, Jiří Rákosník	1992	106
11	Embedding theorems and the spectra of certain differential operators Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences ·D. E. Edmunds, Jiong Sun	1991	3
12	Real interpolation and compact linear operators Journal of Functional Analysis ·Fernando Cobos, D. E. Edmunds, L Stana	1990	16
13	Fourth--order nonlinear elliptic equations with critical growth CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro) ·D. E. Edmunds, Donato Fortunato, Enrico Jannelli	1989	2
14	CIarkson's InequaIities, Besoy Spaces and Triebel–Sobolev Spaces Zeitschrift für Analysis und ihre Anwendungen ·Fernando Cobos, D. E. Edmunds	1988	7
15	Embeddings of Sobolev Spaces with Weights of Power Type Zeitschrift für Analysis und ihre Anwendungen ·D. E. Edmunds, Alois Kufner, Jiří Rákosník	1985	3
16	On the spectrum and the distribution of singular values of Schrödinger operators with a complex potential Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·D. E. Edmunds, W. D. Evans, Jacqueline Fleckinger	1983	5
17	Orlicz and Sobolev spaces on unbounded domains Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·D. E. Edmunds, W. D. Evans, (unknown)	1975	8
18	Quasilinear elliptic problems in unbounded domains Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·D. E. Edmunds, J. R. L. Webb	1973	11
19	Elliptic and degenerate-elliptic operators in unbounded domains French digital mathematics library (Numdam) ·D. E. Edmunds, W. D. Evans	1973	24
20	Quasilinear parabolic equations French digital mathematics library (Numdam) ·D. E. Edmunds, L. A. Peletier	1971	11

About D. E. Edmunds

D. E. Edmunds is a scholar working on Applied Mathematics, Mathematical Physics, Numerical Analysis, Computational Theory and Mathematics and Geometry and Topology, having authored 105 papers that have together received 2.0k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (32 papers), Differential Equations and Boundary Problems (27 papers), Nonlinear Partial Differential Equations (25 papers), Advanced Harmonic Analysis Research (23 papers), Advanced Banach Space Theory (15 papers), Spectral Theory in Mathematical Physics (14 papers), Numerical methods in inverse problems (10 papers) and Mathematical Analysis and Transform Methods (10 papers). The work is most often cited by research in Applied Mathematics (1.4k citations), Mathematical Physics (700 citations), Numerical Analysis (323 citations), Computational Theory and Mathematics (853 citations) and Modeling and Simulation (79 citations). D. E. Edmunds has collaborated with scholars based in United Kingdom, United States and Czechia. Frequent co-authors include Jiří Rákosník, Ján Lang, Donato Fortunato, Enrico Jannelli, Petr Gurka, Hans Triebel, H. Triebel, Ramsay Dyer, W. D. Evans and W. D. Evans. Their work appears in journals such as Bulletin of the London Mathematical Society, Journal of the London Mathematical Society, Mathematische Nachrichten, Journal of Approximation Theory and Journal of Mathematical Analysis and Applications.

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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