Nour-Eddine Amroun, Abbes Benaissa
Abstract:
In this paper, we construct exact solutions of the Cauchy problem
of degenerate quasilinear wave equation of Kirchhoff type, and
study the effect of the nonlinear terms on the existence of
solutions. We construct solutions that exist globally for some
initial data, and that blow up in a finite time for some
other initial data.
Submitted June 21, 2006. Published October 19, 2006.
Math Subject Classifications: 35C05, 35L70.
Key Words: Kirchhoff equation; exact solutions.
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| Nour-Eddine Amroun Université Djillali Liabès Faculty des Sciences, Departement de mathematiques B. P. 89, Sidi Bel Abbès 22000, Algeria email: amroun_nour@yahoo.com | Abbès Benaissa Université Djillali Liabès Faculty des Sciences, Departement de mathematiques B. P. 89, Sidi Bel Abbès 22000, Algeria email: benaissa_abbes@yahoo.com |
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