David Lafontaine

Research Associate
Department of Mathematical Sciences, University of Bath
Curriculum vitae
Contact: d.lafontaine(at)bath.ac.uk
Office: 4W 3.35

About me

I am a postdoctoral researcher at the University of Bath, where I am working with Euan Spence. Previously, I did my Ph.D thesis in the University of Nice under the supervision of Fabrice Planchon, which I defended the 25th September 2018 - you can find my manuscript here.

Research interests

I study the qualitative properties of wave equations arising from physics. In particular, I am interested in the long-time asymptotics and dispersive properties of linear and non-linear Schrödinger and wave equations in domains with boundaries and in non homogeneous settings, especially when the geometry involves trapped geodesics.

Preprints and papers

  1. For most frequencies, strong trapping has a weak effect in frequency-domain scattering, with Euan Spence and Jared Wunsch - 2019, Submitted
  2. Scattering for NLS with a sum of two repulsive potentials - to appear in Annales de l'Institut Fourier
  3. Strichartz estimates without loss outside many strictly convex obstacles - 2018, Submitted
  4. About the wave equation outside two strictly convex obstacles - 2017, Submitted
  5. Strichartz estimates without loss outside two strictly convex obstacles - 2017, Submitted
  6. Scattering for NLS with a potential on the line - Asymptotic Analysis, vol. 100, no. 1-2, pp. 21-39, 2016