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The problem of recovering a first-order scalar differential operator acting on vector-valued functions from its kernel. / Osmolovskii, V. G.
в: Journal of Mathematical Sciences , Том 72, № 6, 01.12.1994, стр. 3425-3427.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - The problem of recovering a first-order scalar differential operator acting on vector-valued functions from its kernel
AU - Osmolovskii, V. G.
PY - 1994/12/1
Y1 - 1994/12/1
N2 - Let L be a first-order scalar differential operator acting on an n-dimensional vector-valued function of the form {Mathematical expression}and let N={u:Lu = 0, u|∂ω = 0}be its kernel. It is proved that any first-order scalar differential operator M acting on an n-dimensional vector-valued function defined in ω and annihilating N is determined by the equality M = c(x)L with an explicitly computable functional multiplier c(x). Bibliography: 2 titles.
AB - Let L be a first-order scalar differential operator acting on an n-dimensional vector-valued function of the form {Mathematical expression}and let N={u:Lu = 0, u|∂ω = 0}be its kernel. It is proved that any first-order scalar differential operator M acting on an n-dimensional vector-valued function defined in ω and annihilating N is determined by the equality M = c(x)L with an explicitly computable functional multiplier c(x). Bibliography: 2 titles.
UR - http://www.scopus.com/inward/record.url?scp=34249767856&partnerID=8YFLogxK
U2 - 10.1007/BF01250431
DO - 10.1007/BF01250431
M3 - Article
AN - SCOPUS:34249767856
VL - 72
SP - 3425
EP - 3427
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 42743450