Blow up of solutions of semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
- 1 September 2020
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 61 (9) , 091503
Abstract
Consider a nonlinear wave equation for a massless scalar field with self-interaction in the spatially flat Friedmann–Lemaître–Robertson–Walker spacetimes. For the case of decelerating expansion, we show upper bounds of the lifespan of blow-up solutions by distinguishing subcritical and critical cases. Comparing to the case of the Minkowski spacetime, we discuss how the scale factor affects the lifespan of blow-up solutions of the equation.Keywords
Funding Information
- Japan Society for the Promotion of Science (JP18K03351)
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