Geodesic
Pointwise estimates for solutions to a system of nonlinear damped wave equations
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a185,
     author = {Wang, Wenjun},
     title = {Pointwise estimates for solutions to a system of nonlinear damped wave equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a185/}
}
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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__a185/