General decay for a system of nonlinear viscoelastic wave equations with weak damping

被引：0
作者：
Baowei Feng
Yuming Qin
Ming Zhang
机构：
[1] Donghua University,College of Information Science and Technology
[2] Donghua University,Department of Applied Mathematics
来源：
Boundary Value Problems | / 2012卷
关键词：
viscoelastic system; general decay; weak damping;
D O I：
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摘要：
In this paper, we are concerned with a system of nonlinear viscoelastic wave equations with initial and Dirichlet boundary conditions in Rn (n=1,2,3). Under suitable assumptions, we establish a general decay result by multiplier techniques, which extends some existing results for a single equation to the case of a coupled system.
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[11]  
Tatar N-e(2005)Asymptotic behavior for a viscoelastic problem with not necessarily decreasing kernel Appl. Math. Comput 167 1221-1235
[12]  
Fabrizio M(2006)System of nonlinear wave equations with damping and source terms Differ. Integral Equ 19 1235-1270
[13]  
Polidoro S(2012)Well posedness and asymptotic behavior of a coupled system of nonlinear viscoelastic equations Nonlinear Anal.: Real World Appl 13 452-463
[14]  
Messaoudi SA(2009)Global existence and blow up of solutions for a system of nonlinear viscoelastic wave equations with damping and source Nonlinear Anal. TMA 71 5427-5450
[15]  
Messaoudi SA(2009)Uniform decay of solutions for a quasilinear system of viscoelastic equations Nonlinear Anal. TMA 71 2257-2267
[16]  
Messaoudi SA(1987)Weak solutions for a system of nonlinear Klein-Gordon equations Ann. Mat. Pura Appl 146 173-183
[17]  
Fareh A(2003)On the standing wave in coupled nonlinear Klein-Gordon equations Math. Methods Appl. Sci 26 11-25
[18]  
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