Lifespan of solutions to wave equations in de Sitter spacetime
Published online by Cambridge University Press: 10 April 2018
Abstract
We consider the finite-time blow-up of solutions for the following two kinds of nonlinear wave equation in de Sitter spacetime:
This proof is based on a new blow-up criterion, which generalizes that by Sideris. Furthermore, we give the lifespan estimate of solutions for the problems.
Keywords
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 148 , Issue 6 , December 2018 , pp. 1313 - 1330
- Copyright
- Copyright © Royal Society of Edinburgh 2018
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