On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime

Abstract Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–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...

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Bibliographic Details
Main Authors: Kimitoshi Tsutaya, Yuta Wakasugi
Format: article
Language:EN
Published: SpringerOpen 2021
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Online Access:https://doaj.org/article/022f2797c9d1405e9193abe62c9e9ef0
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