Exact controllability for a string equation in domains with moving boundary in one dimension

We consider a string equation in a domain with moving boundary. By using the multiplier method in non-cylindrical domains, we establish the exact boundary controllability in domains with moving boundary, and obtain a weaker condition on the time controllability.

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2015; no. 98; pp. 1 - 7
Main Authors Haicong Sun, Huifen Li, Liqing Lu
Format Journal Article
LanguageEnglish
Published Texas State University 14.04.2015
Subjects
Exact controllability
Hilbert uniqueness method
moving boundary
multiplier method
string equation
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Summary:We consider a string equation in a domain with moving boundary. By using the multiplier method in non-cylindrical domains, we establish the exact boundary controllability in domains with moving boundary, and obtain a weaker condition on the time controllability.
ISSN:1072-6691
1072-6691