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math.AP2018
Propagation of singularities on AdS spacetimes for general boundary conditions and the holographic Hadamard condition
Oran Gannot, Michał Wrochna
We consider the Klein-Gordon equation on asymptotically anti-de Sitter spacetimes subject to Neumann or Robin (or Dirichlet) boundary conditions, and prove propagation of singulari…
math.AP2018
Resonance-free regions for diffractive trapping by conormal potentials
Oran Gannot, Jared Wunsch
We consider the Schrödinger operator \[ P=h^2 Δ_g + V \] on equipped with a metric that is Euclidean outside a compact set. The real-valued potential is assu…
math.AP2018
Semiclassical diffraction by conormal potential singularities
Oran Gannot, Jared Wunsch
We establish propagation of singularities for the semiclassical Schrödinger equation, where the potential is conormal to a hypersurface. We show that semiclassical wavefront set pr…