Relative elliptic theory and the Sobolev problem

B. Yu. Sternin   ; V. E. Shatalov

Sbornik. Mathematics, Tome 187 (1996) no. 11, pp. 1691-1720

Résumé

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.

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