Energy decay for solutions to semilinear systems of elastic waves in exterior domains

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 $t o +infty$, provided the initial data is "small" at in...

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Bibliographic Details
Main Authors: Marcio V. Ferreira, Gustavo P. Menzala
Format: Article
Language:English
Published: Texas State University 2006-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/65/abstr.html