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

• Published in: Electronic journal of differential equations Vol. 2015; no. 98; pp. 1 - 7
• Main Authors: Haicong Sun, Huifen Li, Liqing Lu
• Format: Journal Article
• Language: English
• Published: Texas State University 14.04.2015
• Subjects: Exact controllability; Hilbert uniqueness method; moving boundary; multiplier method; string equation

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.