Norm-minimal Neumann boundary control of the wave equation

Gugat M (2014)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2014

Journal

Arabian Journal of Mathematics SpringerOpen

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

Open Access Link: http://download.springer.com/static/pdf/261/art%253A10.1007%252Fs40065-014-0110-9.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs40065-014-0110-9&token2=exp=1467905797~acl=%2Fstatic%2Fpdf%2F261%2Fart%25253A10.1007%25252Fs40065-01

Abstract

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.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Angewandte Mathematik

How to cite

APA:

Gugat, M. (2014). Norm-minimal Neumann boundary control of the wave equation. Arabian Journal of Mathematics, 4(1), 41-58. https://dx.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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