Said Mesloub & Salim A. Messaoudi
Abstract:
In this work we study a nonlinear hyperbolic one-dimensional
problem with a nonlocal condition. We establish a blow up result
for large initial data and a decay result for small initial data.
Submitted January 2, 2003. Published March 17, 2003.
Math Subject Classifications: 35L20, 35L67.
Key Words: Semilinear hyperbolic equation, integral condition,
strong solution, existnece, uniqueness, blow up, decay.
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Said Mesloub Departement de Mathematiques Universite de Tebessa Tebessa 12002, Algerie email: mesloubs@hotmail.com |
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Salim A. Messaoudi Departement of Mathematics King Fahd University of Petroleum & Menirals Dahran 31261, Saudia Arabia e-mail: messaoud@kfupm.edu.sa |
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