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Lifespan of solutions to wave equations in de Sitter spacetime

  • Weiping Yan (a1)

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.

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