Gugat M (2014)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2014
Publisher: SpringerOpen
Book Volume: 4
Pages Range: 41-58
Journal Issue: 1
URI: http://link.springer.com/article/10.1007/s40065-014-0110-9
DOI: 10.1007/s40065-014-0110-9
We consider the problem to control a vibrating string to rest in a given finite time. The string is fixed at one end and controlled by Neumann boundary control at the other end. We give an explicit representation of the L 2-norm minimal control in terms of the given initial state. We show that if the initial state is sufficiently regular, the same control is also L p -norm minimal for p > 2.
APA:
Gugat, M. (2014). Norm-minimal Neumann boundary control of the wave equation. Arabian Journal of Mathematics, 4(1), 41-58. https://doi.org/10.1007/s40065-014-0110-9
MLA:
Gugat, Martin. "Norm-minimal Neumann boundary control of the wave equation." Arabian Journal of Mathematics 4.1 (2014): 41-58.
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