Electron. J. Diff. Equ., Vol. 2015 (2015), No. 98, pp. 1-7.

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

Haicong Sun, Huifen Li, Liqing Lu

Abstract:
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.

Submitted December 14, 2014. Published April 14, 2015.
Math Subject Classifications: 93B05.
Key Words: Exact controllability; string equation; moving boundary; Hilbert uniqueness method; multiplier method.

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Haicong Sun
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: 18835110799@163.com
Huifen Li
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: lhf1024896246@163.com
Liqing Lu
School of Mathematical Sciences
Shanxi University
Taiyuan, Shanxi 030006, China
email: lulq@sxu.edu.cn

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