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arXiv · 2103.03746

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

Kimitoshi Tsutaya·Yuta Wakasugi
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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 nonlinearity. We also show blow-up results for the space time derivative nonlinearity.

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Kimitoshi Tsutaya, Yuta Wakasugi. 2021-03-05. On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime. https://doi.org/10.1186/s13661-021-01571-0

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