Lifespan of Solutions to Wave Equations on de Sitter Spacetime

2015/02/17 by Weiping Yan, Yan, Weiping
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1502.04781

openalex publication_date 2015/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the finite time blow up of solutions for the following two kinds of nonlinear wave equations on de Sitter spacetime amp;amp;\square_g=F(u),
amp;amp;\square_g=F(∂_tu,∇ u). This proof is based on a new blow up criterion, which generalize the blow up criterion in Sideris \citeSider. Furthermore, we give the lifespan estimate of solutions for the problems.

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