Geodesic
On certain generalizations of the Dirichlet problem
Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 287-305 
Yu. A. Rozanov. On certain generalizations of the Dirichlet problem. Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 287-305. http://geodesic.mathdoc.fr/item/SM_1984_48_2_a0/
@article{SM_1984_48_2_a0,
     author = {Yu. A. Rozanov},
     title = {On certain generalizations of the {Dirichlet} problem},
     journal = {Sbornik. Mathematics},
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     year = {1984},
     volume = {48},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_48_2_a0/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A characterization is given of boundary conditions for linear differential operators in a domain with arbitrary boundary, and these conditions are used to state a boundary-value problem in a suitable function class. It is proved that this “generalized Dirichlet problem” has a unique solution which depends continuously on the boundary conditions. Bibliography: 3 titles.