Geodesic
Isolation of singularities of the Green's function
Izvestiya. Mathematics , Tome 1 (1967) no. 5, pp. 935-966

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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. 
@article{IM2_1967_1_5_a2,
     author = {Yu. P. Krasovskii},
     title = {Isolation of singularities of the {Green's} function},
     journal = {Izvestiya. Mathematics },
     pages = {935--966},
     publisher = {mathdoc},
     volume = {1},
     number = {5},
     year = {1967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_5_a2/}
}
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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/