Exact null controllability of degenerate evolution equations with scalar control
Sbornik. Mathematics, Tome 203 (2012) no. 12, pp. 1817-1836
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Necessary and sufficient conditions for the exact null controllability of a degenerate linear evolution equation with scalar control are obtained. These general results are used to examine the exact null controllability of
the Dzektser equation in the theory of seepage.
Bibliography: 13 titles.
Keywords:
degenerate evolution equation, exact controllability, family of exponentials, strongly minimal sequence.
@article{SM_2012_203_12_a7,
author = {V. E. Fedorov and B. Shklyar},
title = {Exact null controllability of degenerate evolution equations with scalar control},
journal = {Sbornik. Mathematics},
pages = {1817--1836},
publisher = {mathdoc},
volume = {203},
number = {12},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2012_203_12_a7/}
}
TY - JOUR AU - V. E. Fedorov AU - B. Shklyar TI - Exact null controllability of degenerate evolution equations with scalar control JO - Sbornik. Mathematics PY - 2012 SP - 1817 EP - 1836 VL - 203 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2012_203_12_a7/ LA - en ID - SM_2012_203_12_a7 ER -
V. E. Fedorov; B. Shklyar. Exact null controllability of degenerate evolution equations with scalar control. Sbornik. Mathematics, Tome 203 (2012) no. 12, pp. 1817-1836. http://geodesic.mathdoc.fr/item/SM_2012_203_12_a7/