Lifespan of Solutions to Wave Equations on de Sitter Spacetime
Analysis of PDEs
2016-11-15 v3
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 \begin{eqnarray*} &&\square_g=F(u),\\ &&\square_g=F(\partial_tu,\nabla u). \end{eqnarray*} This proof is based on a new blow up criterion, which generalize the blow up criterion in Sideris \cite{Sider}. Furthermore, we give the lifespan estimate of solutions for the problems.
Keywords
Cite
@article{arxiv.1502.04781,
title = {Lifespan of Solutions to Wave Equations on de Sitter Spacetime},
author = {Weiping Yan},
journal= {arXiv preprint arXiv:1502.04781},
year = {2016}
}
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