V. E. Fedorov, B. Shklyar, “Exact null controllability of degenerate evolution equations with scalar control”, Mat. Sb., 2012, Volume 203, Number 12,Pages <nobr>137

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Exact null controllability of degenerate evolution equations with scalar control

V. E. Fedorov^a, B. Shklyar^b

^a Chelyabinsk State University
^b Holon Academic Institute of Technology

Abstract: 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.

UDC: 517.977.1

MSC: Primary 34H05; Secondary 76B75, 93C15

Received: 21.11.2011

DOI: 10.4213/sm8090