Geodesic
Isolation of singularities of the Green's function
Izvestiya. Mathematics, Tome 1 (1967) no. 5, pp. 935-966 
Yu. P. Krasovskii. Isolation of singularities of the Green's function. Izvestiya. Mathematics, Tome 1 (1967) no. 5, pp. 935-966. http://geodesic.mathdoc.fr/item/IM2_1967_1_5_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A method is given for constructing the Green's function for general boundary-value problems for elliptic equations. Pointwise estimates are proved for the Green's function in a closed region. A representation of an arbitrary solution of the boundary-value problem is derived, which permits the explicit construction of the irregular part of the solution if the latter contains singularities.

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