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We consider the wave equation (∂ 2 tg )u(t, x) = f (t, x), in ޒ n , u| ޒ -ޒ× n = 0, where the metric g = (g jk (x)) n j,k=1 is known outside an open and bounded set M ⊂ ޒ n with smooth boundary ∂ …