Factorization of matrices depending on a~parameter, and elliptic equations in a~halfspace
Sbornik. Mathematics, Tome 14 (1971) no. 1, pp. 65-84
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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.
@article{SM_1971_14_1_a3,
author = {M. A. Shubin},
title = {Factorization of matrices depending on a~parameter, and elliptic equations in a~halfspace},
journal = {Sbornik. Mathematics},
pages = {65--84},
publisher = {mathdoc},
volume = {14},
number = {1},
year = {1971},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1971_14_1_a3/}
}
M. A. Shubin. Factorization of matrices depending on a~parameter, and elliptic equations in a~halfspace. Sbornik. Mathematics, Tome 14 (1971) no. 1, pp. 65-84. http://geodesic.mathdoc.fr/item/SM_1971_14_1_a3/