18 citations · 22 across the 5 of their papers we have counts for
6 papers
The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms
Gustav Holzegel, Christopher Kauffman
We consider the perturbed covariant wave equation on the exterior of a fixed subextremal Kerr spacetime $\left(\mathcal{M},g_{M,a}\righ…
Global stability of Minkowski space for the Einstein-Maxwell-Klein-Gordon system in generalized wave coordinates
Christopher Kauffman, Hans Lindblad
We prove global existence for Einstein's equations with a charged scalar field for initial conditions sufficiently close to the Minkowski spacetime without matter. The proof relies…
A note on the wave equation on black hole spacetimes with small non-decaying first order terms
Gustav Holzegel, Christopher Kauffman
We present an elementary physical space argument to establish local integrated decay estimates for the perturbed wave equation on the exterior of the…
Asymptotic Behavior of the Maxwell-Klein-Gordon system
Timothy Candy, Christopher Kauffman, Hans Lindblad
In previous work on the Maxwell-Klein-Gordon system first existence and then decay estimates have been shown. Here we show that the Maxwell-Klein-Gordon in the Lorentz gauge satisf…
Global Stability for Charged Scalar Fields in an Asymptotically Flat Metric in Harmonic Gauge
Christopher Kauffman
We prove global stability for the Charge-Scalar Field system on a background spacetime which is close to -dimensional Minkowski space and whose outward light cones converge to…
Quantum Mechanics on Laakso Spaces
Chritopher Kauffman, Robert Kesler, Amanda Parshall +2
We first review the spectrum of the Laplacian operator on a general Laakso Space before considering modified Hamiltonians for the infinite square well, parabola, and Coulomb potent…