On Glassey's conjecture for semilinear wave equations in Friedmann-Lema\itre-Robertson-Walker spacetime
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.
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