Geodesic
Pointwise estimates for solutions to a system of nonlinear damped wave equations
Electronic journal of differential equations, Tome 2013 (2013)
In this article, we consider the existence of global solutions and pointwise estimates for the Cauchy problem of a nonlinear damped wave equation. We obtain the existence by using the approach introduced by Li and Chen in [7] and some estimates of the solution. The proofs of the estimates are based on a detailed analysis of the Green function of the linear damped wave equations. Also, we show the L^p convergence rate of the solution.
Classification : 35L15
Keywords: damped wave system, global solution, classical solution, pointwise estimate, Green function 
@article{EJDE_2013__2013__a85,
     author = {Wang,  Wenjun},
     title = {Pointwise estimates for solutions to a system of nonlinear damped wave equations},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1295.35145},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a85/}
}
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JO  - Electronic journal of differential equations
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%J Electronic journal of differential equations
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Wang,  Wenjun. Pointwise estimates for solutions to a system of nonlinear damped wave equations. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a85/