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, and in the behaviour of solutions of Helmholtz equation in exterior domains. A common theme in my research is the study of the effect of trapped trajectories in such problems.

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