Abstract
We study here the asymptotic behavior of the solution of a hyperbolic problem defined on a cylindrical domain [ 0 , T ] × ( − ℓ , ℓ ) p × ω ⊂ [ 0 , T ] × R n when ℓ → ∞ . We show that, under very general assumptions, the solution of this problem converges faster than any power of 1 ℓ towards the solution of another hyperbolic problem, defined on [ 0 , T ] × ω , in any bounded subdomain. We give both necessary and sufficient conditions for this convergence to occur.
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