TY - JOUR
T1 - Energy Decay of Solutions to a Nondegenerate Wave Equation with a Fractional Boundary Control
AU - Tahri , Mohamed
AU - Benkhedda , Hanane
AU - Benaissa , Abbes
JO - Journal of Partial Differential Equations
VL - 3
SP - 201
EP - 223
PY - 2021
DA - 2021/07
SN - 34
DO - http://doi.org/10.4208/jpde.v34.n3.1
UR - https://global-sci.org/intro/article_detail/jpde/19320.html
KW - Nondegenerate wave equation, fractional boundary control, Frequency domain method, Optimal polynomial stability.
AB - <p style="text-align: justify;">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.</p>