4 citations · 11 across the 14 of their papers we have counts for
4 papers · 2 filters
Optimal constants in nontrapping resolvent estimates and applications in numerical analysis
Jeffrey Galkowski, Euan A. Spence, Jared Wunsch
We study the resolvent for nontrapping obstacles on manifolds with Euclidean ends. It is well known that for such manifolds, the outgoing resolvent satisfies $\|χR(k) χ\|_{L^2\to L…
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…
On non-diffractive cones
Jeffrey Galkowski, Jared Wunsch
A subject of recent interest in inverse problems is whether a corner must diffract fixed frequency waves. We generalize this question somewhat and study cones …
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…