Luc Miller

971 total citations
18 papers, 589 citations indexed

About

Luc Miller is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Luc Miller has authored 18 papers receiving a total of 589 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Mathematical Physics, 15 papers in Computational Theory and Mathematics and 14 papers in Control and Systems Engineering. Recurrent topics in Luc Miller's work include Advanced Mathematical Modeling in Engineering (15 papers), Stability and Controllability of Differential Equations (14 papers) and Numerical methods in inverse problems (12 papers). Luc Miller is often cited by papers focused on Advanced Mathematical Modeling in Engineering (15 papers), Stability and Controllability of Differential Equations (14 papers) and Numerical methods in inverse problems (12 papers). Luc Miller collaborates with scholars based in France, Japan and Canada. Luc Miller's co-authors include Masahiro Yamamoto, Thomas Duyckaerts and Karine Beauchard and has published in prestigious journals such as Archive for Rational Mechanics and Analysis, Journal of Differential Equations and SIAM Journal on Control and Optimization.

In The Last Decade

Luc Miller

18 papers receiving 546 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Luc Miller France	14	429	413	383	92	85	18	589
C.L. Frota Brazil	11	295 0.7×	263 0.6×	250 0.7×	108 1.2×	77 0.9×	26	438
Khaled Zennir Saudi Arabia	13	394 0.9×	295 0.7×	343 0.9×	115 1.3×	247 2.9×	138	651
Yuri Tomilov Poland	11	528 1.2×	497 1.2×	509 1.3×	25 0.3×	294 3.5×	51	858
Yanbing Yang China	13	283 0.7×	272 0.7×	149 0.4×	28 0.3×	176 2.1×	33	433
Wei Lian China	9	321 0.7×	296 0.7×	171 0.4×	38 0.4×	238 2.8×	14	468
Luc Robbiano France	14	1.0k 2.4×	1.1k 2.6×	1.0k 2.7×	36 0.4×	226 2.7×	43	1.3k
G. Perla Menzala Brazil	17	587 1.4×	638 1.5×	369 1.0×	22 0.2×	244 2.9×	74	923
L. A. Medeiros Brazil	12	322 0.8×	308 0.7×	232 0.6×	40 0.4×	146 1.7×	40	487
Alexander Borichev France	11	401 0.9×	412 1.0×	392 1.0×	13 0.1×	389 4.6×	59	837
Judith Vancostenoble France	16	804 1.9×	727 1.8×	789 2.1×	19 0.2×	150 1.8×	40	916

Countries citing papers authored by Luc Miller

Since Specialization

Citations

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

Fields of papers citing papers by Luc Miller

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Luc Miller

This figure shows the co-authorship network connecting the top 25 collaborators of Luc Miller. A scholar is included among the top collaborators of Luc Miller 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 Luc Miller. Luc Miller 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:

18 of 18 papers shown

Beauchard, Karine, et al.. (2015). 2d Grushin-type equations: Minimal time and null controllable data. Journal of Differential Equations. 259(11). 5813–5845. 21 indexed citations

Miller, Luc & Masahiro Yamamoto. (2013). Coefficient inverse problem for a fractional diffusion equation. Inverse Problems. 29(7). 75013–75013. 91 indexed citations

Miller, Luc. (2012). Resolvent conditions for the control of unitary groups and their approximations. Journal of Spectral Theory. 2(1). 1–55. 22 indexed citations

Duyckaerts, Thomas & Luc Miller. (2012). Resolvent conditions for the control of parabolic equations. Journal of Functional Analysis. 263(11). 3641–3673. 18 indexed citations

Miller, Luc. (2010). A direct Lebeau-Robbiano strategy for the observability ofheat-like semigroups. Discrete and Continuous Dynamical Systems - B. 13(4). 1465–1485. 52 indexed citations

Miller, Luc. (2007). On the cost of fast controls for thermoelastic plates. Asymptotic Analysis. 51(2). 93–100. 5 indexed citations

Miller, Luc. (2006). Non-structural controllability of linear elastic systems with structural damping. Journal of Functional Analysis. 236(2). 592–608. 13 indexed citations

Miller, Luc. (2006). On the Controllability of Anomalous Diffusions Generated by the Fractional Laplacian. Mathematics of Control Signals and Systems. 18(3). 260–271. 43 indexed citations

Miller, Luc. (2006). The Control Transmutation Method and the Cost of Fast Controls. SIAM Journal on Control and Optimization. 45(2). 762–772. 49 indexed citations

10.

Miller, Luc. (2005). Unique continuation estimates for the Laplacian and the heat equation on non-compact manifolds. Mathematical Research Letters. 12(1). 37–47. 13 indexed citations

11.

Miller, Luc. (2004). Controllability cost of conservative systems: resolvent condition and transmutation. Journal of Functional Analysis. 218(2). 425–444. 69 indexed citations

12.

Miller, Luc. (2004). Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time. Journal of Differential Equations. 204(1). 202–226. 56 indexed citations

13.

Miller, Luc. (2004). Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time. Journal of Differential Equations. 204(1). 202–226. 5 indexed citations

14.

Miller, Luc. (2004). How Violent are Fast Controls for Schr�dinger and Plate Vibrations?. Archive for Rational Mechanics and Analysis. 172(3). 429–456. 26 indexed citations

15.

Miller, Luc. (2002). Escape Function Conditions for the Observation, Control, and Stabilization of the Wave Equation. SIAM Journal on Control and Optimization. 41(5). 1554–1566. 35 indexed citations

16.

Miller, Luc. (2000). Refraction of high-frequency waves density by sharp interfaces and semiclassical measures at the boundary. Journal de Mathématiques Pures et Appliquées. 79(3). 227–269. 54 indexed citations

17.

Miller, Luc. (1997). Short waves through thin interfaces and 2-microlocal measures. Journées Équations aux dérivées partielles. 1–12. 9 indexed citations

18.

Miller, Luc. (1997). Réfraction d'ondes semi-classiques par des interfaces franches. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 325(4). 371–376. 8 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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