Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-25T02:38:55.365Z Has data issue: false hasContentIssue false
  • English
  • Français

Lifespan of solutions to wave equations in de Sitter spacetime

Part of: Hyperbolic equations and systems Dynamical problems

Published online by Cambridge University Press:  10 April 2018

Weiping Yan
Weiping Yan*
Affiliation:
School of Mathematics, Xiamen University, Xiamen 361000, People's Republic of China ([email protected])
Get access Rights & Permissions [Opens in a new window]

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

blow-upwave equationlifespan

MSC classification

Primary: 35L05: Wave equation 74H35: Singularities, blowup, stress concentrations
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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)