34 citations · 193 across the 55 of their papers we have counts for
4 papers · 1 filter
Pointwise Bounds for Steklov Eigenfunctions
Jeffrey Galkowski, John A. Toth
Let be a compact, real-analytic Riemannian manifold with real-analytic boundary The harmonic extensions of the boundary Dirchlet-to-Neumann eigenfunctions are…
Wavenumber-explicit analysis for the Helmholtz -BEM: error estimates and iteration counts for the Dirichlet problem
Jeffrey Galkowski, Eike H. Müller, Euan A. Spence
We consider solving the exterior Dirichlet problem for the Helmholtz equation with the -version of the boundary element method (BEM) using the standard second-kind combined-fiel…
The Behavior of Eigenfunctions Near the Glancing Set
Jeffrey Galkowski
Let be a compact manifold with or without boundary and be a smooth, interior hypersurface. We study the restriction of Laplace eigenfunctions solving $(-h^2Δ_g-1)u…
Arbitrarily small perturbations of Dirichlet Laplacians are quantum unique ergodic
Sourav Chatterjee, Jeffrey Galkowski
Given an Euclidean domain with very mild regularity properties, we prove that there exist perturbations of the Dirichlet Laplacian of the form with $\|S_ε\|_{L^2\to L^2…