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Blow-up Solutions of Quasilinear Hyperbolic Equations With Critical Sobolev Exponent

Published online by Cambridge University Press:  29 February 2012

S. Ibrahim  and
A. Lyaghfouri
S. Ibrahim*
Affiliation:
Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada
A. Lyaghfouri
Affiliation:
Fields Institute, Toronto, ON, Canada
*
⋆ Corresponding author. E-mail: ibrahims@uvic.ca
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Abstract

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]

Keywords

p−wave equationBlow-upcritical Sobolev exponent
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 2: Solitary waves , 2012 , pp. 66 - 76
Copyright
© EDP Sciences, 2012

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