Existence of Global Solutions to a Quasilinear Wave Equation with General Nonlinear Damping
Date
2002-10-26
Authors
Aassila, Mohammed
Benaissa, Abbes
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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 H² ∩ H¹₀.
Description
Keywords
Quasilinear wave equation, Global existence, Asymptotic behavior, Nonlinear dissipative term, Multiplier method
Citation
Aassila, M., & Benaissa, A. (2002). Existence of global solutions to a quasilinear wave equation with general nonlinear damping. <i>Electronic Journal of Differential Equations, 2002</i>(91), pp. 1-22.
Rights
Attribution 4.0 International