Back to Search
Start Over
Global nonexistence of solutions to a semilinear wave equation in the Minkowski space
- Source :
-
Applied Mathematics Letters . Aug2008, Vol. 21 Issue 8, p849-854. 6p. - Publication Year :
- 2008
-
Abstract
- Abstract: This work presents the finite-time blow-up of solutions to the equation in the Minkowski space. We extend the previous result of Belchev, Kepka and Zhou [E. Belchev, M. Kepka, Z. Zhou, Finite-time blow-up of solutions to semilinear wave equations, J. Funct. Anal. 190 (1) (2002) 233–254] comprehensively. Due to a modification of the so-called method of conformal compactification used by Belchev, Kepka and Zhou, we show that the solutions blow up in finite time with more relaxed initial data and extended index . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 21
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 32733237
- Full Text :
- https://doi.org/10.1016/j.aml.2007.08.009