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Exponential stability of an elastic string with local Kelvin–Voigt damping

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Abstract

This paper is devoted to analyzing an elastic string with local Kelvin–Voigt damping. We prove the exponential stability of the system when the material coefficient function near the interface is smooth enough. Our method is based on the frequency method and semigroup theory.

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Authors and Affiliations

  1. Department of Mathematics, School of Sciences, Beijing Institute of Technology, Beijing, 100081, China

    Qiong Zhang

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  1. Qiong Zhang
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Correspondence to Qiong Zhang.

Additional information

The work is supported by the NSF of China (60504001, 60974033), SRF for ROCS, SEM, China (20080732041) and the Programa Nacional de Ayudas Para la Movilidad, Spain (SB2003-0271).

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Zhang, Q. Exponential stability of an elastic string with local Kelvin–Voigt damping. Z. Angew. Math. Phys. 61, 1009–1015 (2010). https://doi.org/10.1007/s00033-010-0064-5

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  • DOI: https://doi.org/10.1007/s00033-010-0064-5

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