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BEHAVIOR OF THE ENERGY FOR LAME SYSTEMS IN BOUNDED DOMAINS WITH NONLINEAR DAMPING AND EXTERNAL FORCE

Bchatnia Ahmed, -0001

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 1, 1-17,

Résumé

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 dierential equation, an it depends on t

We study behavior of the energy for solutions to a Lame system on a bounded domain, with localized nonlinear damping and extern

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