| Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 2, 2012
Solitary waves
|
|
|---|---|---|
| Page(s) | 66 - 76 | |
| DOI | https://doi.org/10.1051/mmnp/20127206 | |
| Published online | 29 February 2012 | |
Blow-up Solutions of Quasilinear Hyperbolic Equations With Critical Sobolev Exponent
1
Department of Mathematics and Statistics, University of
Victoria, Victoria,
BC,
Canada
2
Fields Institute, Toronto, ON,
Canada
⋆ Corresponding author. E-mail: ibrahims@uvic.ca
In this paper, we show finite time blow-up of solutions of the p−wave equation in ℝN, with critical Sobolev exponent. Our work extends a result by Galaktionov and Pohozaev [4]
Mathematics Subject Classification: 35L05 / 35L70 / 35L80
Key words: p−wave equation / Blow-up / critical Sobolev exponent
© EDP Sciences, 2012
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