Math. Model. Nat. Phenom.
Volume 7, Number 2, 2012Solitary waves
|Page(s)||66 - 76|
|Published online||29 February 2012|
Blow-up Solutions of Quasilinear Hyperbolic Equations With Critical Sobolev Exponent
Department of Mathematics and Statistics, University of
2 Fields Institute, Toronto, ON, Canada
⋆ Corresponding author. E-mail: email@example.com
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 
Mathematics Subject Classification: 35L05 / 35L70 / 35L80
Key words: p−wave equation / Blow-up / critical Sobolev exponent
© EDP Sciences, 2012
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