This article is cited in 7 papers

Factorization of matrices depending on a parameter, and elliptic equations in a halfspace

M. A. Shubin


Abstract: In this paper we prove the theorem that every matrix-function on the circle depending on a parameter admits a triangular factorization which is continuous in the parameter. Using this theorem, we manage to construct explicitly a regularizer of the boundary value problem for an elliptic system of pseudo-differential equations in a halfspace.
Figures: 8.
Bibliography: 16 titles.

UDC: 517.9

MSC: 15A12, 35S15

Received: 04.05.1970

 English version: Mathematics of the USSR-Sbornik, 1971, 14:1, 65–84

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