2 citations · 2 across the 3 of their papers we have counts for
15 papers
The scattering phase: seen at last
Jeffrey Galkowski, Pierre Marchand, Jian Wang +1
The scattering phase, defined as where is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when deali…
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…
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one
Jeffrey Galkowski
In this article we consider asymptotics for the spectral function of Schrödinger operators on the real line. Let have the form $$ P:=-\tfrac{…
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…