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Blow up of solutions of semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
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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.
Title: Blow up of solutions of semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
Description:
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.
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