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首页> 外文期刊>Journal of inverse and ill-posed problems >The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation
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The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation

机译：The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation

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摘要

We establish the stabilization of the strong solution (u(t, x), k(t)) to the inverse problem for a pseudoparabolic equation (u + eta Mu)(t) + Mu + k(t)u = f with an unknown coefficient k(t) to the solution (u(infinity), k(infinity)) of the appropriate stationary inverse problem. The operator M = - div(M(x)del) + m (x)I is supposed to be elliptic and self-adjoint. The asymptotic behavior of the solution (u(t, x), k(t)) is investigated as t ->+infinity.

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