Geodesic
On an inverse problem for a stationary equation with boundary condition of the third kind
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 5, pp. 659-666

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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. 
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     author = {Alexander V. Velisevich},
     title = {On an inverse problem for a stationary equation with boundary condition of the third kind},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {659--666},
     publisher = {mathdoc},
     volume = {14},
     number = {5},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_5_a13/}
}
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Alexander V. Velisevich. On an inverse problem for a stationary equation with boundary condition of the third kind. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 5, pp. 659-666. http://geodesic.mathdoc.fr/item/JSFU_2021_14_5_a13/