Open Access
September 2006 Optimal energy decay rate for Rayleigh beam equation with dynamical boundary controls
Ali Wehbe
Bull. Belg. Math. Soc. Simon Stevin 13(3): 385-400 (September 2006). DOI: 10.36045/bbms/1161350682

Abstract

We consider a Rayleigh beam equation with two dynamical boundary controls. First, by a multiplier method, we show that the smooth solution has a polynomial energy decay rate. Next, using a spectrum method, we justify that the polynomial energy decay rate is optimal.

Citation

Download Citation

Ali Wehbe. "Optimal energy decay rate for Rayleigh beam equation with dynamical boundary controls." Bull. Belg. Math. Soc. Simon Stevin 13 (3) 385 - 400, September 2006. https://doi.org/10.36045/bbms/1161350682

Information

Published: September 2006
First available in Project Euclid: 20 October 2006

zbMATH: 1130.35126
MathSciNet: MR2307676
Digital Object Identifier: 10.36045/bbms/1161350682

Subjects:
Primary: 35B35 , 35B40 , 93C15 , 93D15

Keywords: compact perturbation , dynamical control , multiplier method , optimal energy decay rate , Riesz basis

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.13 • No. 3 • September 2006
Back to Top