An inverse problem for pseudoparabolic equation with the mixed boundary condition

Anna Sh. Lyubanova

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: In this paper we study the inverse problem on identification of the leading coefficient in the pseudoparabolic equation. The problem involves the mixed boundary condition. The unknown coefficient is recovered by additional integral boundary data. The existence and uniqueness of the strong solution are proved. The result concerns with the identification of the hydraulic properties of fissured medium.

Keywords: filtration, inverse problem, pseudoparabolic equation, existence, uniqueness.

UDC: 517.95

Received: 05.02.2023
Received in revised form: 10.06.2023
Accepted: 20.08.2023

Language: English