Global existence of solutions for semilinear wave equations in Friedmann-Lema\^itre-Robertson-Walker spacetime
Marcelo Rempel Ebert, Jorge Marques
TL;DR
This paper proves the global existence of small data solutions for certain nonlinear wave equations in decelerating FLRW spacetimes, extending understanding of wave behavior in cosmological models.
Contribution
It establishes global solutions for supercritical nonlinear wave equations in decelerating FLRW universes, a case not fully addressed before.
Findings
Global existence for small data in decelerating FLRW spacetime
Results for supercritical nonlinear powers
Advances understanding of wave equations in cosmology
Abstract
We consider the nonlinear massless wave equation belonging to some family of the Friedmann-Lema\^itre-Robertson-Walker (FLRW) spacetime. We prove the global in time small data solutions for supercritical powers in the case of decelerating expansion universe.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Black Holes and Theoretical Physics