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WELL-POSEDNESS AND ASYMPTOTIC STABILITY FOR THE LAME SYSTEM WITH INFINITE MEMORIES IN A BOUNDED DOMAIN

Abstract : In this work, we consider the Lamé system in 3-dimension bounded domain with infinite memories. We prove, under some appropriate assumptions , that this system is well-posed and stable, and we get a general and precise estimate on the convergence of solutions to zero at infinity in terms of the growth of the infinite memories.
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https://hal.inria.fr/hal-01281824
Contributor : Aissa Guesmia <>
Submitted on : Wednesday, March 2, 2016 - 7:53:47 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM

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Ahmed Bchatnia, Aissa Guesmia. WELL-POSEDNESS AND ASYMPTOTIC STABILITY FOR THE LAME SYSTEM WITH INFINITE MEMORIES IN A BOUNDED DOMAIN. Mathematical Control and Related Fields, AIMS, 2014, ⟨10.3934/mcrf.2014.4.451⟩. ⟨hal-01281824⟩

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