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An inverse problem for pseudoparabolic equation of filtration: the stabilization |
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| Authors: | A.Sh. Lyubanova A. Tani |
| Affiliation: | 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 |