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On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime (2103.03746v1)
Published 5 Mar 2021 in math.AP
Abstract: Consider nonlinear wave equations in the spatially flat Friedmann-Lema^itre-Robertson-Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey's conjecture for the time derivative nonlinearity. We also show blow-up results for the space time derivative nonlinearity.