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Stabilization of solutions of an exterior boundary value problem for some class of evolution systems

Stabilization of solutions of an exterior boundary value problem for some class of evolution systems

(1) utt + L(x,Dx)u = 0 , u|t=0 = f1(x) , ut|t=0 = f2(x) , Bj(x,Dx,Dt)u|S = 0 , j = 1, . . . , l , where the boundary operators Bj are such that problem (1) is well posed. Our purpose is to study asymptotics as t → …