Yannis Angelopoulos

I am an Assistant Adjunct Professor at the University of California, Los Angeles. My office is MS 6617D.

Email: yannis [at] math.ucla.edu

Research Interests:

Nonlinear Partial Differential Equations, General Relativity

Papers:

  • Semi-global impulsive gravitational wave spacetimes, in preparation.
  • (joint with Stefanos Aretakis and Dejan Gajic) Nonlinear wave equations satisfying the null condition on extremal Reissner-Nordström spacetimes, in preparation.
  • (joint with Stefanos Aretakis and Dejan Gajic) Late-time asymptotics for the wave equation on extremal Reissner-Nordström spacetimes, in preparation.
  • (joint with Stefanos Aretakis and Dejan Gajic) Scattering maps in extremal Reissner-Nordström spacetimes, in preparation.
  • (joint with Stefanos Aretakis and Dejan Gajic) Asymptotics for scalar perturbations from a neighbourhood of the bifurcation sphere, online preprint at arXiv 1802.05692.
  • (joint with Stefanos Aretakis and Dejan Gajic) Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity, submitted, online preprint at arXiv 1712.09977.
  • (joint with Stefanos Aretakis and Dejan Gajic) Late-time asymptotics for the wave equations on spherically symmetric, stationary spacetimes, Advances in Mathematics, Vol. 323 (2018), 529-621, online preprint at arXiv 1612.01566.
  • (joint with Stefanos Aretakis and Dejan Gajic) A vector field approach to almost-sharp decay for the wave equations on spherically symmetric, stationary spacetimes, submitted, online preprint at arXiv 1612.01565.
  • (joint with Stefanos Aretakis and Dejan Gajic) Asymptotic blow-up for a class of semilinear wave equations on extremal Reissner-Nordström spacetimes, submitted, online preprint at: arXiv 1612.01562.
  • (joint with Stefanos Aretakis and Dejan Gajic) The trapping effect on degenerate horizons , Annales Henri Poincaré, Vol. 18, Issue 5 (2017), 1593-1633, online preprint at arXiv 1512.09094.
  • Global spherically symmetric solutions of nonlinear wave equations with null condition on extremal Reissner-Nordström spacetimes, International Mathematical Research Notices, Vol. 2016, Issue 11 (2016), 3279-3355, online preprint at arXiv 1408.4478.
  • Well-posedness and ill-posedness results for the Novikov-Veselov equation , Communications on Pure and Applied Analysis, Vol. 15, Issue 3 (2016), 727-760, online preprint at arXiv 1307.4110.

  • Teaching:

  • Instructor for Math 32A and Math 33A.