B. Yu. Sternin, V. E. Shatalov, “Transfer of an extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems”, Mat. Sb., 1994, Volume 185, Number 3,Pages <nobr>117

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Transfer of an extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems

B. Yu. Sternin, V. E. Shatalov

M. V. Lomonosov Moscow State University

Abstract: Finiteness theorems (the Fredholm property) are proved in this paper for a certain class of elliptic problems. The operators corresponding to these problems are obtained as the elements of an extension of the set of pseudodifferential operators via a special class of (nonlocal) operators.

UDC: 517.9

MSC: Primary 35J40, 58G20, 35S15; Secondary 47G30, 47A60, 58G15

Received: 22.04.1993