Energy decay for solutions to semilinear systems of elastic waves in exterior domains
Date
2006-05-22
Authors
Ferreira, Marcio V.
Menzala, Gustavo P.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We 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.
Description
Keywords
Uniform stabilization, Exterior domain, System of elastic waves, Semilinear problem
Citation
Ferreira, 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.
Rights
Attribution 4.0 International