Journal of Siberian Federal University. Mathematics & Physics / On the Approximation of a Parabolic Inverse Problem by Pseudoparabolic One

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2012 5 (3)
Authors
Lyubanova, Anna Sh.
Contact information
Lyubanova, Anna Sh. : Institute of Space and Information Technologies, Siberian Federal University , Svobodny, 79, Krasnoyarsk, 660041 Russia , e-mail:
Keywords
filtration; inverse problems for PDE; pseudoparabolic equation; parabolic equation; existence and uniqueness theorems
Abstract

The properties of the solution to the inverse problem on the identification of the leading coefficient of the multi-dimensional pseudoparabolic equation are studied. It is proved that the inverse problem for the pseudoparabolic equation approximates the appropriate inverse problem for the parabolic equation of filtration. The existence and uniqueness of the solution to the parabolic inverse problem is established.

Pages
326-336
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2926