In this work we study a nonlinear transmission problem for the wave equation with boundary dissipation of memory type. The material is constituted by two different elastic components. We have a transmission problem with damping boundary condition of memory type. We prove the global existence and uniformly decay of the solution to zero as time goes to infinity.
@article{7502,
title = {The nonlinear transmission problem with memory - doi: 10.5269/bspm.v22i1.7502},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {23},
year = {2009},
doi = {10.5269/bspm.v22i1.7502},
language = {EN},
url = {http://dml.mathdoc.fr/item/7502}
}
Fatori, Luci H.; Andrade, Doherty. The nonlinear transmission problem with memory - doi: 10.5269/bspm.v22i1.7502. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v22i1.7502. http://gdmltest.u-ga.fr/item/7502/