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Global nonexistence for a semilinear wave equation with nonlinear boundary dissipation

Authors :
Feng, Hongyinping
Li, Shengjia
Source :
Journal of Mathematical Analysis & Applications. Jul2012, Vol. 391 Issue 1, p255-264. 10p.
Publication Year :
2012

Abstract

Abstract: In this paper, we consider the following problem where is a bounded open interval in , and . We are interested in the interaction between the boundary damping and the interior source . Under some appropriate assumptions on the initial data, two blow-up results with positive initial energy are established. Furthermore, we obtain that the solutions blow up if p or is sufficiently large. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0022247X
Volume :
391
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
73492364
Full Text :
https://doi.org/10.1016/j.jmaa.2012.02.013