Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-28T08:37:18.538Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms

Published online by Cambridge University Press:  15 July 2011

Shun-Tang Wu
Shun-Tang Wu
Affiliation:
General Education Center, National Taipei University of Technology, Taipei 106, Taiwan ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

An initial–boundary-value problem for a class of wave equations with nonlinear damping and source terms in a bounded domain is considered. We establish the non-existence result of global solutions with the initial energy controlled above by a critical value via the method introduced in a work by Autuori et al. in 2010. This improves the 2009 result of Liu and Wang.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 4 , August 2011 , pp. 865 - 880
Copyright
Copyright © Royal Society of Edinburgh 2011

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.)