Mathematical Modelling of Natural Phenomena

Table of Contents - 2012 - Volume 7, Issue 02 (Solitary waves)  

Research Article

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

S. Ibrahima1 c1 and A. Lyaghfouria2

a1 Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada

a2 Fields Institute, Toronto, ON, Canada

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]

(Online publication February 29 2012)

Key Words:

  • p−wave equation;
  • Blow-up;
  • critical Sobolev exponent

Mathematics Subject Classification:

  • 35L05;
  • 35L70;
  • 35L80

Correspondence:

c1 Corresponding author. E-mail: ibrahims@uvic.ca