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

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 Classificat...

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Bibliographic Details
Main Authors: Mohammed Aassila, Abbes Benaissa
Format: Article
Language:English
Published: Texas State University 2002-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/91/abstr.html