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

作　　者：TAHRI Mohamed BENKHEDDA Hanane BENAISSA Abbes 

机构地区：[1]Laboratory of Analysis and Control of PDEs,Djillali Liabes University,P.O.Box 89,Sidi Bel Abbes 22000,Algeria

出　　处：《Journal of Partial Differential Equations》2021年第3期201-223,共23页偏微分方程（英文版）

摘　　要：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.

关 键 词：Nondegenerate wave equation fractional boundary control Frequency domain method Optimal polynomial stability 

分 类 号：O175.27[理学—数学]