Ferreira, Marcio V.Menzala, Gustavo P.2021-07-162021-07-162006-05-22Ferreira, M. V., & Menzala, G. P. (2006). Energy decay for solutions to semilinear systems of elastic waves in exterior domains. <i>Electronic Journal of Differential Equations, 2006</i>(65), pp. 1-13.1072-6691https://hdl.handle.net/10877/13938We consider the dynamical system of elasticity in the exterior of a bounded open domain in 3-D with smooth boundary. We prove that under the effect of "weak" dissipation, the total energy decays at a uniform rate as t → +∞, provided the initial data is "small" at infinity. No assumptions on the geometry of the obstacle are required. The results are then applied to a semilinear problem proving global existence and decay for small initial data.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalUniform stabilizationExterior domainSystem of elastic wavesSemilinear problemArticle