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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1984 Volume 124(166), Number 2(6), Pages 217–237 (Mi sm2048)

This article is cited in 1 paper

The zeta-function of a degenerate elliptic operator

A. I. Karol'


Abstract: The author constructs the meromorphic continuation to the entire complex plane of the zeta-function of the operator of a boundary value problem for an elliptic equation in divergence form, degenerating like a power at the boundary.
Bibliography: 19 titles.

UDC: 517.9

MSC: Primary 35J70; Secondary 35P20

Received: 12.02.1983


 English version:
Mathematics of the USSR-Sbornik, 1985, 52:1, 209–230

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