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Global nonexistence for a semilinear wave equation with nonlinear boundary dissipation
- 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