14 citations · 25 across the 6 of their papers we have counts for
6 papers
Global existence for a Fritz John equation in expanding FLRW spacetimes
João L. Costa, Jesús Oliver, Flavio Rossetti
We study the family of semilinear wave equations , on fixed expanding FLRW spacetimes, having spatial slices and undergoing…
A Sufficient Condition for Blowup of the Nonlinear Klein-Gordon Equation with Positive Initial Energy in FLRW Spacetimes
Jonathon McCollum, Gregory Mwamba, Jesús Oliver
In this paper we demonstrate a sufficient condition for blowup of the nonlinear Klein-Gordon equation with arbitrarily positive initial energy in Friedmann-Lemaître-Robertson-Walke…
Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model
Philippe G. LeFloch, Jesús Oliver, Yoshio Tsutsumi
We consider the global evolution problem for a model which couples together a nonlinear wave equation and a nonlinear Klein-Gordon equation, and was independently introduced by LeF…
Semilinear wave equations on accelerated expanding FLRW spacetimes
João L. Costa, Anne T. Franzen, Jesús Oliver
We identify a large class of systems of semilinear wave equations, on fixed accelerated expanding FLRW spacetimes, with nearly at spatial slices, for which we prove small data futu…
A Vector Field Method for Radiating Black Hole Spacetimes
Jesus Oliver, Jacob Sterbenz
We develop a commuting vector field method for a general class of radiating spacetimes. The metrics considered are certain long range perturbations of Minkowski space including tho…
A Vector Field Method for Non-Trapping, Radiating Spacetimes
Jesús Oliver
We study the global decay properties of solutions to the linear wave equation in 1+3 dimensions on time-dependent, weakly asymptotically flat spacetimes. Assuming non-trapping of n…