Year: 2021
Author: Mohamed Tahri, Hanane Benkhedda, Abbes Benaissa
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 3 : pp. 201–223
Abstract
In this paper, we study the energy decay rate for a one-dimensional nondegenerate wave equation under a fractional control applied at the boundary. We proved the polynomial decay result with an estimation of the decay rates. Our result is established using the frequency-domain method and Borichev-Tomilov theorem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n3.1
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 3 : pp. 201–223
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Nondegenerate wave equation fractional boundary control Frequency domain method Optimal polynomial stability.
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