2 citations · 2 across the 3 of their papers we have counts for
13 papers · 1 filter
Eigenvalues of the truncated Helmholtz solution operator under strong trapping
Jeffrey Galkowski, Pierre Marchand, Euan A. Spence
For the Helmholtz equation posed in the exterior of a Dirichlet obstacle, we prove that if there exists a family of quasimodes (as is the case when the exterior of the obstacle has…
Outgoing solutions via Gevrey-2 properties
Jeffrey Galkowski, Maciej Zworski
Gajic--Warnick have recently proposed a definition of scattering resonances based on Gevrey-2 regularity at infinity and introduced a new class of potentials for which resonances c…
Semiclassical resolvent bounds for weakly decaying potentials
Jeffrey Galkowski, Jacob Shapiro
In this note, we prove weighted resolvent estimates for the semiclassical Schrödinger operator , . The potential $…
An introduction to microlocal complex deformations
Jeffrey Galkowski, Maciej Zworski
In this expository article we relate the presentation of weighted estimates in the book of Martinez to the Bergman kernel approach of Sjöstrand. It is meant as an introduction to t…
Viscosity limits for 0th order pseudodifferential operators
Jeffrey Galkowski, Maciej Zworski
Motivated by the work of Colin de Verdière and Saint-Raymond on spectral theory 0th order pseudodifferential operators on tori we consider viscosity limits in which 0th order opera…
Domains without dense Steklov nodal sets
Oscar Bruno, Jeffrey Galkowski
This article concerns the asymptotic geometric character of the nodal set of the eigenfunctions of the Steklov eigenvalue problem $$ -Δϕ_{σ_j}=0,\quad\text{ on }Ω,\qquad\qquad \par…