Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842102 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 22 Pages |
Abstract
In this paper we investigate the global existence and energy decay rate for the solution of a coupled hyperbolic system. The semi-explicit energy decay rate is established by using piecewise multiplier techniques and weighted integral inequality. We extend the energy decay result in Alabau-Boussouira [F. Alabau-Boussouira, Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems, Appl. Math. Optim. 51 (2005) 61–105] for a single equation to the coupled hyperbolic system.
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Authors
Xiaosen Han, Mingxin Wang,