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IMA Journal of Mathematical Control and Information 1990 7(4):307-315; doi:10.1093/imamci/7.4.307
© 1990 by Institute of Mathematics and its Applications
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Pointwise Stabilization for a Chain of Coupled Vibrating Strings

W. L. CHAN and GUO BAO ZHU {dagger}

Department of Mathematics, The Chinese University of Hong Kong Hong Kong

For the system representing a chain of coupled vibrating strings, we show that the associated semigroup satisfies the assumption of spectrum-determined growth, and hence obtain conditions for energy to decay strongly or exponentially. We examine in detail the three-string case, and our results include those obtained by others for the two-string case.

{dagger}Permanent address: Beijing Institute of Information and Control, Beijing, China.


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