34 citations · 193 across the 55 of their papers we have counts for
6 papers · 1 filter
Pointwise bounds for joint eigenfunctions of quantum completely integrable systems
Jeffrey Galkowski, John A. Toth
Let be a compact Riemannian manifold and so that on . We assume that is quantum completely integrable in the sense that th…
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…
A microlocal approach to eigenfunction concentration
Jeffrey Galkowski
We describe a new approach to understanding averages of high energy Laplace eigenfunctions, , over submanifolds, where is a subman…
Improvements for eigenfunction averages: An application of geodesic beams
Yaiza Canzani, Jeffrey Galkowski
Let be a smooth, compact Riemannian manifold and an -normalized sequence of Laplace eigenfunctions, . Given a smooth submanifold $H \subset…
Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators
Jeffrey Galkowski, Euan A. Spence
We prove new, sharp, wavenumber-explicit bounds on the norms of the Helmholtz single- and double-layer boundary-integral operators as mappings from $L^2(\partial Ω)\rightarrow H^1(…
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 …