Linear Hyperbolic and Petrowski Type PDEs with Continuous Boundary Control → Boundary Observation Open Loop Map: Implication on Nonlinear Boundary Stabilization with Optimal Decay Rates

2008 ◽  
pp. 187-276 ◽  
Author(s):  
Irena Lasiecka ◽  
Roberto Triggiani
Keyword(s):  
Boundary Control ◽  
Nonlinear Boundary ◽  
Open Loop ◽  
Decay Rates ◽  
Boundary Stabilization ◽  
Optimal Decay Rates ◽  
Optimal Decay ◽  
Continuous Boundary

scholarly journals Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction

2007 ◽  
Vol 236 (2) ◽  
pp. 407-459 ◽  
Author(s):  
Marcelo M. Cavalcanti ◽  
Valéria N. Domingos Cavalcanti ◽  
Irena Lasiecka
Keyword(s):  
Wave Equation ◽  
Nonlinear Boundary ◽  
Decay Rates ◽  
Well Posedness ◽  
Boundary Damping ◽  
Optimal Decay Rates ◽  
Optimal Decay

scholarly journals A new stability result for a thermoelastic Bresse system with viscoelastic damping

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Soh Edwin Mukiawa ◽  
Cyril Dennis Enyi ◽  
Tijani Abdulaziz Apalara
Keyword(s):  
Stability Result ◽  
Bending Moment ◽  
Decay Rates ◽  
Viscoelastic Damping ◽  
Physical Parameters ◽  
Bresse System ◽  
Solution Energy ◽  
Optimal Decay Rates ◽  
Optimal Decay ◽  
Weaker Conditions

AbstractWe investigate a thermoelastic Bresse system with viscoelastic damping acting on the shear force and heat conduction acting on the bending moment. We show that with weaker conditions on the relaxation function and physical parameters, the solution energy has general and optimal decay rates. Some examples are given to illustrate the findings.

scholarly journals Optimal decay rates for the stabilization of a string network

2014 ◽  
Vol 352 (6) ◽  
pp. 491-495 ◽  
Author(s):  
Mohamed Jellouli ◽  
Michel Mehrenberger
Keyword(s):  
Decay Rates ◽  
Optimal Decay Rates ◽  
Optimal Decay
Sign in / Sign up

Export Citation Format

Share Document