Ahmed Bchatnia, Moez Daoulatli
Abstract:
We study behavior of the energy for solutions to a Lame system
on a bounded domain, with localized nonlinear damping and external force.
The equation is set up in three dimensions and under a microlocal
geometric condition. More precisely, we prove that the behavior
of the energy is determined by a solution to a forced differential
equation, an it depends on the L^2 norm of the force.
Submitted November 8, 2012. Published January 7, 2013
Math Subject Classifications: 35L05, 35B40.
Key Words: Lame system; nonlinear damping; bounded domain;
external force
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Ahmed Bchatnia Department of Mathematics, Faculty of Sciences of Tunis University of Tunis El Manar, Campus Universitaire 2092 - El Manar 2, Tunis, Tunisia email: ahmed.bchatnia@fst.rnu.tn |
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Moez Daoulatli Department of Mathematics, Faculty of Sciences of Bizerte University of Carthage 7021, Jarzouna, Bizerte, Tunisia email:moez.daoulatli@infcom.rnu.tn |
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