Geodesic
Decay rates for solutions of a system of wave equations with memory
Electronic Journal of Differential Equations, Tome 2002 (2002).

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

Summary: The purpose of this article is to study the asymptotic behavior of the solutions to a coupled system of wave equations having integral convolutions as memory terms. We prove that when the kernels of the convolutions decay exponentially, the first and second order energy of the solutions decay exponentially. Also we show that when the kernels decay polynomially, these energies decay polynomially.
Classification : 35B40
Keywords: asymptotic behavior, wave equation 
@article{EJDE_2002__2002__a287,
     author = {de Lima Santos, Mauro},
     title = {Decay rates for solutions of a system of wave equations with memory},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a287/}
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de Lima Santos, Mauro. Decay rates for solutions of a system of wave equations with memory. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a287/