World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
7589
World Ranking
1377
National Ranking
77

Overview

Nicolas Burq is affiliated with the University of Paris-Saclay in France. Their research contributions primarily lie within the field of Mathematics, with a focus on several interrelated areas such as Mathematical Physics, Control and Systems Engineering, Computational Theory and Mathematics, Applied Mathematics, and Statistical and Nonlinear Physics.

The scientist's work encompasses multiple advanced topics, including:

  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Numerical Methods in Inverse Problems
  • Spectral Theory in Mathematical Physics
  • Navier-Stokes Equation Solutions
  • Advanced Mathematical Theories

Among the recent papers authored by Nicolas Burq are:

  • "Propagation of smallness and control for heat equations," 2022, Journal of the European Mathematical Society
  • "Decay rates for Kelvin-Voigt damped wave equations II: The geometric control condition," 2021, Proceedings of the American Mathematical Society
  • "Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation," 2024, Memoirs of the American Mathematical Society
  • "Time optimal observability for GrushinSchrödinger equation," 2022, Analysis & PDE

They have multiple collaborations with frequent coauthors, which include:

  • Iván Moyano
  • Claude Zuily
  • Belhassen Dehman
  • Jérôme Le Rousseau
  • Laurent Thomann

The scientist frequently publishes in a variety of venues, reflecting a broad dissemination of their research. Key publication outlets include:

  • arXiv (Cornell University)
  • Proceedings of the American Mathematical Society
  • Analysis & PDE
  • ESAIM Control Optimisation and Calculus of Variations
  • HAL (Le Centre pour la Communication Scientifique Directe)

Best Publications

  • Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds

    Nicolas Burq;P Gerard;N Tzvetkov

  • Random data Cauchy theory for supercritical wave equations I: local theory

    Nicolas Burq;Nicolas Burq;Nikolay Tzvetkov

  • Décroissance de l'énergie locale de l'équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel

    Nicolas Burq

  • Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential

    Nicolas Burq;Fabrice Planchon;John G. Stalker;A.Shadi Tahvildar-Zadeh

  • Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes

    Nicolas Burq;Patrick Gérard

  • Random data Cauchy theory for supercritical wave equations II: a global existence result

    Nicolas Burq;Nicolas Burq;Nikolay Tzvetkov

  • On the Cauchy problem for gravity water waves

    Thomas Alazard;Nicolas Burq;Claude Zuily

  • Geometric control in the presence of a black box

    Nicolas Burq;Maciej Zworski

  • Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces

    N. Burq;P. Gérard;N. Tzvetkov

  • On the water-wave equations with surface tension

    Thomas Alazard;Nicolas Burq;Claude Zuily

  • Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay

    Nicolas Burq;Fabrice Planchon;John G. Stalker;A. Shadi Tahvildar-Zadeh

  • Semi-classical estimates for the resolvent in nontrapping geometries

    Nicolas Burq

  • An instability property of the nonlinear Schrödinger equation on $S^{d}$

    N. Burq;P. Gerard;N. Tzvetkov

  • Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds

    N. Burq;P. Gérard;N. Tzvetkov

  • Probabilistic well-posedness for the cubic wave equation

    Nicolas Burq;Nikolay Tzvetkov

  • On nonlinear Schrödinger equations in exterior domains

    N Burq;P Gérard;N Tzvetkov

  • Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations

    Nicolas Burq;Patrick Gérard;Nikolay Tzvetkov

  • Energy decay for damped wave equations on partially rectangular domains

    Nicolas Burq;Michael Hitrik

  • Global existence for energy critical waves in 3-d domains

    Nicolas Burq;Gilles Lebeau;Fabrice Planchon

  • Contrôlabilité exacte des ondes dans des ouverts peu réguliers

    N. Burq

  • On the Water Waves Equations with Surface Tension

    Thomas Alazard;Nicolas Burq;Claude Zuily

Frequent Co-Authors

Nikolay Tzvetkov
Nikolay Tzvetkov École Normale Supérieure de Lyon
Maciej Zworski
Maciej Zworski University of California, Berkeley
Fabrice Planchon
Fabrice Planchon Sorbonne University
Jean Bourgain
Jean Bourgain Institute for Advanced Study
Wilhelm Schlag
Wilhelm Schlag Yale University
Rachel Ward
Rachel Ward The University of Texas at Austin

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