Energy Decay of Solutions to a Nondegenerate Wave Equation with a Fractional Boundary Control

Authors

  • Mohamed Tahri Laboratory of Analysis and Control of PDEs, Djillali Liabes University, P. O. Box 89, Sidi Bel Abbes 22000, Algeria
  • Hanane Benkhedda Laboratory of Analysis and Control of PDEs, Djillali Liabes University, P. O. Box 89, Sidi Bel Abbes 22000, Algeria
  • Abbes Benaissa

DOI:

https://doi.org/10.4208/jpde.v34.n3.1

Keywords:

Nondegenerate wave equation, fractional boundary control, Frequency domain method, Optimal polynomial stability.

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\nthe polynomial decay result with an estimation of the decay rates. Our result is established using the frequency-domain method and Borichev-Tomilov theorem.<\/p>"

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Published

2021-07-02

Issue

Vol. 34 No. 3 (2021)

Section

Articles