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Sbornik: Mathematics, 2012, Volume 203, Issue 12, Pages 1817–1836
DOI: https://doi.org/10.1070/SM2012v203n12ABEH004289 (Mi sm8090) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Exact null controllability of degenerate evolution equations with scalar control

V. E. Fedorova, B. Shklyarb

a Chelyabinsk State University
b Holon Academic Institute of Technology
English version PDF (407 kB) Citations (15)
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DOI: https://doi.org/10.1070/SM2012v203n12ABEH004289
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.
Received: 21.11.2011
Russian version:
Matematicheskii Sbornik, 2012, Volume 203, Number 12, Pages 137–156
DOI: https://doi.org/10.4213/sm8090
Bibliographic databases:
Document Type: Article
UDC: 517.977.1
MSC: Primary 34H05; Secondary 76B75, 93C15
Language: English
Original paper language: Russian
Citation: V. E. Fedorov, B. Shklyar, “Exact null controllability of degenerate evolution equations with scalar control”, Mat. Sb., 203:12 (2012), 137–156; Sb. Math., 203:12 (2012), 1817–1836
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v203/i12/p137
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:516
    Russian version PDF:167
    English version PDF:12
    References:40
    First page:47
     
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