Journal of Siberian Federal University. Mathematics & Physics / On an Inverse Problem for the Stationary Equation with a Boundary Condition of the Third Type

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (5)
Authors
Velisevich, Alexander V.
Contact information
Velisevich, Alexander V.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
inverse problem for PDE; boundary value problem; second-order elliptic equation; existence and uniqueness theorem
Abstract

The identification of an unknown coefficient in the lower term of elliptic second-order differential equation Mu + ku = f with the boundary condition of the third type 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

Pages
659–666
DOI
10.17516/1997-1397-2021-14-5-659-666
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/143741