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Exponential decay of solutions for the plate equation with localized damping

Analysis of PDEs 2013-11-26 v3

Abstract

In this paper, we give positive answer to the open question raised in [E. Zuazua, Exponential decay for the semilinear wave equation with localized damping in unbounded domains. J. Math. Pures Appl., 70 (1991) 513--529] on the exponential decay of solutions for the semilinear plate equation with localized damping.

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Cite

@article{arxiv.1310.7243,
  title  = {Exponential decay of solutions for the plate equation with localized damping},
  author = {Sema Simsek and Azer Khanmamedov},
  journal= {arXiv preprint arXiv:1310.7243},
  year   = {2013}
}

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16 pages