Mohammed Aassila & Abbes Benaissa
Abstract:
In this paper we prove the existence of a global solution
and study its decay for the solutions to a quasilinear wave
equation with a general nonlinear dissipative term by
constructing a stable set in
.
Submitted July 02, 2002. Published October 26, 2002.
Math Subject Classifications: 35B40, 35L70, 35B37.
Key Words: Quasilinear wave equation, global existence,
asymptotic behavior, nonlinear dissipative term,
multiplier method.
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Mohammed Aassila Mathematisches Institut Universitat zu Koln Weyertal 86-90, D-50931 Koln, Germany. e-mail: aassila@mi.uni-koeln.de |
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Abbes Benaissa Universite Djillali Liabes Faculte des Sciences D\'epartement de Math\'ematiques B. P. 89, Sidi Bel Abbes 22000, Algeria e-mail: benaissa_abbes@yahoo.com |
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