Geodesic
Reconstruction of the right-hand side of the elliptical equation from observation data obtained at the boundary
Kragujevac Journal of Mathematics, Tome 30 (2007), p. 45

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We consider the classical inverse problem in the potential theory in which it is required to determine the unknown right-hand side of the elliptic equation in the case in which additional data are set on the boundary of the calculation domain. To simplify the consideration, restrict ourselves to the two-dimensional Poisson equation.
Classification : 65N21 65N06 35J05 35R30
Keywords: elliptical equation, two-dimensional Poisson equation 
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     author = {Petr N. Vabishchevich},
     title = {Reconstruction of the right-hand side of the elliptical equation from observation data obtained at the boundary},
     journal = {Kragujevac Journal of Mathematics},
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Petr N. Vabishchevich. Reconstruction of the right-hand side of the elliptical equation from observation data obtained at the boundary. Kragujevac Journal of Mathematics, Tome 30 (2007), p. 45 . http://geodesic.mathdoc.fr/item/KJM_2007_30_a3/