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An inverse problem for pseudoparabolic equation of filtration: the stabilization
Authors:ASh Lyubanova  A Tani
Institution:1. Department of Information Systems and Technologies in Metalurgy , Siberian Federal University , 95 Krasnoyarskii rabochii avenue, Krasnoyarsk 660025 , Russia lubanova@mail.ru;3. Department of Mathematics , Keio University Hiyoshi , 3-14-1, Yokohama 223-8522 , Japan
Abstract:In this article, the properties of the solution to the inverse problem on the identification of the leading coefficient of the multi-dimensional pseudoparabolic equation are studied. The stabilization of its strong solution to the solution of the inverse problem for an elliptic equation is established.
Keywords:filtration  inverse problems for PDE  pseudoparabolic equation  elliptic equation  stabilization of solutions  existence and uniqueness theorems
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