Geodesic
Relative elliptic theory and the~Sobolev problem
Sbornik. Mathematics, Tome 187 (1996) no. 11, pp. 1691-1720

Voir la notice de l'article provenant de la source Math-Net.Ru

An operator algebra associated with a smooth embedding $i \colon X\hookrightarrow M$ is constructed. For elliptic elements of this algebra a finiteness theorem (the Fredholm property) is established, and the index is computed. A connection with Sobolev problems is shown. 
@article{SM_1996_187_11_a4,
     author = {B. Yu. Sternin and V. E. Shatalov},
     title = {Relative elliptic theory and {the~Sobolev} problem},
     journal = {Sbornik. Mathematics},
     pages = {1691--1720},
     publisher = {mathdoc},
     volume = {187},
     number = {11},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1996_187_11_a4/}
}
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B. Yu. Sternin; V. E. Shatalov. Relative elliptic theory and the~Sobolev problem. Sbornik. Mathematics, Tome 187 (1996) no. 11, pp. 1691-1720. http://geodesic.mathdoc.fr/item/SM_1996_187_11_a4/