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arXiv · 2112.02755

Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime

Kimitoshi Tsutaya·Yuta Wakasugi
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Abstract

Consider a nonlinear wave equation for a massless scalar field with self-interaction in the spatially flat de Sitter spacetime. We show that blow-up in a finite time occurs for the equation with arbitrary power nonlinearity as well as upper bounds of the lifespan of blow-up solutions.The blow-up condition is the same as in the accelerated expanding Friedmann-Lema\^itre-Robertson-Walker (FLRW) spacetime. We also show the same results for the space derivative nonlinear term.

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Kimitoshi Tsutaya, Yuta Wakasugi. 2021-12-06. Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. https://doi.org/10.1007/s42985-021-00145-0

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