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arXiv:2103.03746 [math.AP]AbstractReferencesReviewsResources

On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime

Kimitoshi Tsutaya, Yuta Wakasugi

Published 2021-03-05Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:2103.01219, arXiv:2103.00175
Categories: math.AP
Subjects: 35L05, 35L70, 35P25
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