This article is cited in 4 papers

On an inverse problem for a stationary equation with boundary condition of the third kind

Alexander V. Velisevich

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: The identification of an unknown coefficient in the lower term of elliptic second-order differential equation $Mu+ku=f$ with boundary condition of the third kind is considered. The identification of the coefficient is based on integral boundary data. The local existence and uniqueness of the strong solution for the inverse problem is proved.

Keywords: inverse problem for PDE, boundary value problem, second-order elliptic equation, existence and uniqueness theorem.

UDC: 517.95

Received: 10.04.2021
Received in revised form: 10.05.2021
Accepted: 20.06.2021

Language: English

DOI: 10.17516/1997-1397-2021-14-5-659-666

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