Exponential Decay for the Wave Equation Equipped with a Point Damping Device

2017 ◽  
pp. 185-201
Author(s):  
Alexander Y. Khapalov
Keyword(s):  
Wave Equation ◽  
Exponential Decay

scholarly journals Exponential decay rate for a wave equation with Dirichlet boundary control

2007 ◽  
Vol 20 (8) ◽  
pp. 861-865 ◽  
Author(s):  
Chuanxian Deng ◽  
Yan Liu ◽  
Weisheng Jiang ◽  
Falun Huang
Keyword(s):  
Wave Equation ◽  
Decay Rate ◽  
Boundary Control ◽  
Exponential Decay ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Control ◽  
Exponential Decay Rate

scholarly journals EXPONENTIAL DECAY FOR A NEUTRAL WAVE EQUATION

2017 ◽  
Vol 7 (4) ◽  
pp. 1267-1274
Author(s):  
Nasser-eddine Tatar ◽  
Keyword(s):  
Wave Equation ◽  
Exponential Decay

scholarly journals Existence, blow-up and exponential decay estimates for the nonlinear Kirchhoff-Carrier wave equation in an annular with nonhomogeneous Dirichlet conditions

Filomat ◽  
2019 ◽  
Vol 33 (17) ◽  
pp. 5561-5588 ◽  
Author(s):  
le Son ◽  
Le Ngoc ◽  
Nguyen Long
Keyword(s):  
Wave Equation ◽  
Exponential Decay ◽  
Existence And Uniqueness ◽  
Lyapunov Functional ◽  
Blow Up ◽  
Initial Energy ◽  
Decay Estimates ◽  
Carrier Wave ◽  
Dirichlet Conditions ◽  
Uniqueness Of The Solution

This paper is devoted to the study of a nonlinear Kirchhoff-Carrier wave equation in an annular associated with nonhomogeneous Dirichlet conditions. At first, by applying the Faedo-Galerkin, we prove existence and uniqueness of the solution of the problem considered. Next, by constructing Lyapunov functional, we prove a blow-up result for solutions with a negative initial energy and establish a sufficient condition to obtain the exponential decay of weak solutions.

scholarly journals Exponential decay of solutions of a semilinear Lipschitz Perturbation of Kirchhoff-Carrier Wave Equation

1993 ◽  
Vol 15 (15) ◽  
pp. 17
Author(s):  
Eleni Bisognin
Keyword(s):  
Wave Equation ◽  
Mixed Problem ◽  
Exponential Decay ◽  
Lipschitz Function ◽  
Global Solutions ◽  
Work Study ◽  
Carrier Wave ◽  
Decay Of Solutions ◽  
Lipschitz Perturbation

In this work study the existence of global solutions and exponential decay of energy of the mixed problem for perturbed Kirchhoff-Carrier wave equationu" - M(a(u)) Δu + F(u) + γ u’ = fwhere F is a Lipschitz function.

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