Matthieu Léautaud

Master 2 AMS (Analyse, Modélisation, Simulation)

• La page de l'Option AM (Analyse, Modélisation)
• La page de l'Option MS (Modélisation, Simulation)

Scientific edition

• A list of mathematicians-friendly journals and a list of journals free of charges
• Karim Ramdani's webpage and Frédéric Helein's webpage on scientific edition (in french)
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Papers and preprints

• Unique continuation for Schrödinger operators with partially Gevrey coefficients (with Spyridon Filippas and Camille Laurent)
  submitted.


• Long time energy averages and a lower resolvent estimate for damped waves
  submitted.


• Lectures on unique continuation for waves (with Camille Laurent)
  submitted.


• On critical points of eigenvalues of the Montgomery family of quartic oscillators (with Bernard Helffer)
  Indiana Univ. Math. J., to appear.


• Length orthospectrum of convex bodies on flat tori (with Nguyen Viet Dang and Gabriel Rivière)
  Camb. J. Math. Vol. 11, No. 4, 917-1043 (2023).


• Spectral summability for the quartic oscillator with applications to the Engel group (with Hajer Bahouri, Davide Barilari and Isabelle Gallagher)
  J. Spectral Theory, Vol. 13, No. 2, 623-706 (2023).


• On uniform controllability of 1D transport equations in the vanishing viscosity limit (with Camille Laurent)
  Comptes Rendus Mathématiques, 361, 265-312 (2023).


• Uniform observation of semiclassical Schrödinger eigenfunctions on an interval (with Camille Laurent)
  Tunisian J. Math. Vol. 5, No. 1, 125-170 (2023).


• Logarithmic decay for damped hypoelliptic wave and Schrödinger equations (with Camille Laurent)
  SIAM J. Control Optim. 59(3), 1881-1902 (2021).


• On uniform observability of gradient flows in the vanishing viscosity limit (with Camille Laurent)
  J. Ecole polytechnique-Mathématiques Tome 8 p. 439-506 (2021).


• Observability of the heat equation, geometric constants in control theory, and a conjecture of Luc Miller (with Camille Laurent)
  Anal. PDE, 14(2):355-423 (2021).


• Control from an Interior Hypersurface (with Jeffrey Galkowski)
  Trans. Amer. Math. Soc. 373(5):3177-3233 (2020).


• Tunneling estimates and approximate controllability for hypoelliptic equations (with Camille Laurent)
  Mem. Amer. Math. Soc. Volume 1357, vi+95p. (2022).


• Uniform observability estimates for linear waves (with Camille Laurent)
  ESAIM: COCV, 22(4):1097-1136 (2016). Special Issue in honor of Jean-Michel Coron for his 60th birthday.


• Quantitative unique continuation for operators with partially analytic coefficients. Application to approximate control for waves (with Camille Laurent)
  J. Europ. Math. Soc. 21(4):957-1069 (2019).


• Delocalization of quasimodes on the disk (with Nalini Anantharaman and Fabricio Macià)
  C. R. Acad. Sci. Paris, Ser. I, 354:257-263 (2016).


• Energy decay for a locally undamped wave equation (with Nicolas Lerner)
  Ann. Fac. Sci. Toulouse, 26(1):157-205 (2017).


• Wigner measures and observability for the Schrödinger equation on the disk (with Nalini Anantharaman and Fabricio Macià)
  Invent. Math., 206(2):485-599 (2016).


• Geometric analysis of the linear Boltzmann equation I. Trend to equilibrium (with Daniel Han-Kwan)
  Annals of PDE, 1(3):84pp (2015).


• Sharp polynomial decay rates for the damped wave equation on the torus (with Nalini Anantharaman, appendix by Stéphane Nonnenmacher)
  Anal. PDE, 7:159-214 (2014).


• Controllability of two coupled wave equations on a compact manifold (with Belhassen Dehman and Jérôme Le Rousseau)
  Arch. Ration. Mech. Anal., 211:113-187 (2014).


• Indirect controllability of locally coupled wave-type systems and applications (with Fatiha Alabau-Boussouira)
  J. Math. Pures Appl., 99:544-576 (2013).


• Controllability of a parabolic system with a diffusive interface (with Jérôme Le Rousseau and Luc Robbiano)
  J. Europ. Math. Soc., 15:1485-1574 (2013).


• Indirect controllability of locally coupled systems under geometric conditions (with Fatiha Alabau-Boussouira)
  C. R. Acad. Sci. Paris, Ser. I, 349:395-400 (2011).


• Uniform controllability of scalar conservation laws in the vanishing viscosity limit
  SIAM, J. Control Optim., 50:1661-1699 (2012).


• Indirect stabilization of locally coupled wave-type systems (with Fatiha Alabau-Boussouira)
  ESAIM, Control Optim. Calc. Var., 18:548-582 (2011).


• Spectral inequalities for non-selfadjoint elliptic operators and application to the null-controllability of parabolic systems
  J. Funct. Anal., 258:2739-2778 (2010).

PhD students

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Phd Thesis

Former affiliations