Electron. J. Diff. Eqns., Vol. 2002(2002), No. 91, pp. 1-22.

Existence of global solutions to a quasilinear wave equation with general nonlinear damping

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 $H^{2}\cap H_{0}^{1}$.

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.

Show me the PDF file (300K), TEX file, and other files for this article.

Mohammed Aassila
Mathematisches Institut
Universitat zu Koln
Weyertal 86-90, D-50931 Koln, Germany.
e-mail: aassila@mi.uni-koeln.de
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

Return to the EJDE web page