Fabrice Planchon

2.5k total citations
50 papers, 1.3k citations indexed

About

Fabrice Planchon is a scholar working on Mathematical Physics, Applied Mathematics and Control and Systems Engineering. According to data from OpenAlex, Fabrice Planchon has authored 50 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Mathematical Physics, 36 papers in Applied Mathematics and 21 papers in Control and Systems Engineering. Recurrent topics in Fabrice Planchon's work include Advanced Mathematical Physics Problems (44 papers), Stability and Controllability of Differential Equations (20 papers) and Navier-Stokes equation solutions (19 papers). Fabrice Planchon is often cited by papers focused on Advanced Mathematical Physics Problems (44 papers), Stability and Controllability of Differential Equations (20 papers) and Navier-Stokes equation solutions (19 papers). Fabrice Planchon collaborates with scholars based in France, United States and Italy. Fabrice Planchon's co-authors include Nicolas Burq, Marco Cannone, A. Shadi Tahvildar‐Zadeh, John Stalker, Isabelle Gallagher, Luis Vega, Dragoş Iftimie, Gilles Lebeau, Gabriel S. Koch and Pierre Raphaël and has published in prestigious journals such as Journal of Abnormal Psychology, Communications in Mathematical Physics and Archive for Rational Mechanics and Analysis.

In The Last Decade

Fabrice Planchon

48 papers receiving 1.2k citations

Peers

Fabrice Planchon

CSE

SNP

Daoyuan Fang China

Yi Zhou China

Changxing Miao China

Slim Ibrahim Canada

Marius Paicu France

Frédéric Rousset France

Piero DʼAncona Italy

Luc Molinet France

Franck Merle France

Ferruccio Colombini Italy

Daoyuan Fang China

Fabrice Planchon

1.0k ×0.9

945 ×1.0

289 ×0.6

CSE

450 ×2.3

166 ×0.9

SNP

Citations per year, relative to Fabrice Planchon Fabrice Planchon (= 1×) peers Daoyuan Fang

Countries citing papers authored by Fabrice Planchon

Since Specialization

Citations

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

Fields of papers citing papers by Fabrice Planchon

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Fabrice Planchon

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

All Works

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20 of 20 papers shown

Lebeau, Gilles, et al.. (2023). Dispersion for the Wave Equation Inside Strictly Convex Domains II: The General Case. arXiv (Cornell University). 9(2). 1 indexed citations

Lebeau, Gilles, et al.. (2021). Strichartz estimates for the wave equation on a 2D model convex domain. Journal of Differential Equations. 300. 830–880. 4 indexed citations

Lebeau, Gilles, et al.. (2021). New counterexamples to Strichartz estimates for the wave equation on a 2 D model convex domain. arXiv (Cornell University). 8. 1133–1157. 4 indexed citations

Lebeau, Gilles, et al.. (2014). Estimations de Strichartz pour les ondes dans le modèle de Friedlander en dimension 3 . French digital mathematics library (Numdam). 1–12. 1 indexed citations

Planchon, Fabrice. (2013). On the cubic NLS on 3D compact domains. Journal of the Institute of Mathematics of Jussieu. 13(1). 1–18. 4 indexed citations

Burq, Nicolas & Fabrice Planchon. (2009). Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. American Journal of Mathematics. 131(6). 1715–1742. 22 indexed citations

Planchon, Fabrice, et al.. (2008). A poor man's square function estimate on domains. arXiv (Cornell University). 1 indexed citations

Burq, Nicolas, Gilles Lebeau, & Fabrice Planchon. (2008). Global existence for energy critical waves in 3-d domains. Journal of the American Mathematical Society. 21(3). 831–845. 57 indexed citations

Burq, Nicolas & Fabrice Planchon. (2006). Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. Journal of Functional Analysis. 236(1). 265–298. 14 indexed citations

10.

Furioli, Giulia, Elide Terraneo, & Fabrice Planchon. (2003). Unconditional well-posedness for semilinear Schrödinger and wave equations in H^s. Journal of Abnormal Psychology. 51(2). 147–156. 7 indexed citations

11.

Burq, Nicolas, Fabrice Planchon, John Stalker, & A. Shadi Tahvildar‐Zadeh. (2003). Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. Journal of Functional Analysis. 203(2). 519–549. 135 indexed citations

12.

Planchon, Fabrice. (2003). An Extension of the Beale-Kato-Majda Criterion for the Euler Equations. Communications in Mathematical Physics. 232(2). 319–326. 34 indexed citations

13.

Gallagher, Isabelle, Dragoş Iftimie, & Fabrice Planchon. (2003). Asymptotics and stability for global solutions to the Navier-Stokes equations. Annales de l’institut Fourier. 53(5). 1387–1424. 68 indexed citations

14.

Daubechies, Ingrid & Fabrice Planchon. (2002). Adaptive Gabor transforms. Applied and Computational Harmonic Analysis. 13(1). 1–21. 11 indexed citations

15.

Gallagher, Isabelle, Dragoş Iftimie, & Fabrice Planchon. (2002). Non-explosion en temps grand et stabilité de solutions globales des équations de Navier–Stokes. Comptes Rendus Mathématique. 334(4). 289–292. 24 indexed citations

16.

Cannone, Marco & Fabrice Planchon. (2000). On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations. Revista Matemática Iberoamericana. 16(1). 1–16. 29 indexed citations

17.

Planchon, Fabrice. (2000). Self-similar solutions and semi-linear wave equations in Besov spaces. Journal de Mathématiques Pures et Appliquées. 79(8). 809–820. 27 indexed citations

18.

Planchon, Fabrice. (2000). ON THE CAUCHY PROBLEM IN BESOV SPACES FOR A NON-LINEAR SCHRÖDINGER EQUATION. Communications in Contemporary Mathematics. 2(2). 243–254. 15 indexed citations

19.

Planchon, Fabrice. (1998). Asymptotic behavior of global solutions to the Navier–Stokes equations in $\mathbb R^3$. Revista Matemática Iberoamericana. 14(1). 71–93. 51 indexed citations

20.

Cannone, Marco, Yves Meyer, & Fabrice Planchon. (1994). Solutions auto-similaires des équations de Navier-Stokes. French digital mathematics library (Numdam). 1–10. 24 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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