2 citations · 4 across the 6 of their papers we have counts for
6 papers
Logarithmic wave decay for short range wavespeed perturbations with radial regularity
Gayana Jayasinghe, Katrina Morgan, Jacob Shapiro +1
We establish logarithmic local energy decay for wave equations with a varying wavespeed in dimensions two and higher, where the wavespeed is assumed to be a short range perturbatio…
Wave propagation on rotating cosmic string spacetimes
Katrina Morgan, Jared Wunsch
A rotating cosmic string spacetime has a singularity along a timelike curve corresponding to a one-dimensional source of angular momentum. Such spacetimes are not globally hyperbol…
Mode solutions to the wave equation on a rotating cosmic string background
Katrina Morgan, Jared Wunsch
A static rotating cosmic string metric is singular along a timelike line and fails to be globally hyperbolic; these features make it difficult to solve the wave equation by convent…
Generalized Price's law on fractional-order asymptotically flat stationary spacetimes
Katrina Morgan, Jared Wunsch
We obtain estimates on the rate of decay of a solution to the wave equation on a stationary spacetime that tends to Minkowski space at a rate $κ\in (1,\i…
The effect of metric behavior at spatial infinity on pointwise wave decay in the asymptotically flat stationary setting
Katrina Morgan
The current work considers solutions to the wave equation on asymptotically flat, stationary, Lorentzian spacetimes in (1+3) dimensions. We investigate the relationship between the…
Global existence for systems of quasilinear wave equations in (1+4)-dimensions
Jason Metcalfe, Katrina Morgan
Hörmander proved global existence of solutions for sufficiently small initial data for scalar wave equations in dimensions of the form where va…