Global existence of solutions for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime

Abstract

We consider the nonlinear massless wave equation belonging to some family of the Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime. We prove the global in time small data solutions for supercritical powers in the case of decelerating expansion universe.

References in corpus (2)

• The semilinear Euler-Poisson-Darboux equation: a case of wave with critical dissipation
• Asymptotic profiles for a wave equation with parameter dependent logarithmic damping