This article is cited in 3 papers

The inverse problem for the nonlinear pseudoparabolic equation of filtration type

Anna Sh. Lyubanova

Institute of Space and Information Technologies, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: The paper discusses the correctness of the inverse problem on finding an unknown coefficient dependent on $t$ in the nonlinear pseudoparabolic equation of the third order with an additional information on the boundary. The existence and uniqueness theorem is proven. The proof of the theorem is carried out by the reduction of the original inverse problem to the equivalent one with an operator equation for the unknown coefficient.

Keywords: local existence and uniqueness theorem, a priori estimate, inverse problem, nonlinear higher-order equation, pseudoparabolic equation, filtration.

UDC: 517.95

Received: 25.06.2016
Received in revised form: 10.09.2016
Accepted: 20.11.2016

Language: English

DOI: 10.17516/1997-1397-2017-10-1-4-15

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