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

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

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.

Author Details

Mohamed Tahri

Hanane Benkhedda

Abbes Benaissa

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