This article is cited in 7 papers

Identification of a coefficient in the leading term of a pseudoparabolic equation of filtration

A. Sh. Lyubanova

Siberian Federal University, Krasnoyarsk, Russia

Abstract: The identification problem of a leading coefficient in a linear pseudoparabolic equation is examined under an integral overdetermination condition on the boundary of a domain. We prove a local existence and uniqueness theorem of a strong solution. In a particular case the results obtained allow us to solve a problem of determining the rate of fluid exchange between fissures and pores in a model filtration equation for a fissured medium.

Keywords: filtration, inverse problems for partial differential equations, pseudoparabolic equation, existence and uniqueness theorem, boundary value problem.

UDC: 517.95

Received: 17.11.2012

 English version: Siberian Mathematical Journal, 2013, 54:6, 1046–1058

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