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/