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On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime (2103.00175v1)
Published 27 Feb 2021 in math.AP
Abstract: Consider a nonlinear wave equation for a massless scalar field with self-interaction in the spatially flat Friedmann-Lema^{i}tre-Robertson-Walker spacetimes. We treat the so-called heatlike case where the critical exponent is affected by the Fujita exponent. We show upper bounds of the lifespan of blow-up solutions by distinguishing subcritical and critical cases.