On Global Solvability and Asymptotic Behavior of a Nonlinear Coupled System with Memory Condition at the Boundary
Santos, M. L. ; Ferreira, J. ; Raposo, C. A.
Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, p. 297-313 / Harvested from Project Euclid
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We consider a nonlinear coupled system of two wave equations with memory condition at the boundary and we study the asymptotic behavior of the corresponding solutions. We proved that the energy decay with the same rate of decay of the relaxation functions, that is, the energy decays exponentially when the relaxation functions decay exponentially and decay polynomially when the relaxation functions decay polynomially.
Publié le : 2004-06-14
Classification:  Coupled system,  wave equation,  Galerkin method,  exponential decay,  polynomial decay 
@article{1086969320,
     author = {Santos, M. L. and Ferreira, J. and Raposo, C. A.},
     title = {On Global Solvability and Asymptotic Behavior of a
Nonlinear Coupled System with Memory Condition at the Boundary},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 297-313},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1086969320}
}

Santos, M. L.; Ferreira, J.; Raposo, C. A. On Global Solvability and Asymptotic Behavior of a
Nonlinear Coupled System with Memory Condition at the Boundary. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, pp.  297-313. http://gdmltest.u-ga.fr/item/1086969320/