This article is cited in 16 papers

Relative elliptic theory and the Sobolev problem

B. Yu. Sternin, V. E. Shatalov


Abstract: 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.

UDC: 517.9

MSC: Primary 58G15; Secondary 58G03, 47A53, 47G30, 35S30, 35S15

Received: 26.04.1995

DOI: 10.4213/sm174

 English version: Sbornik: Mathematics, 1996, 187:11, 1691–1720

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