International audienceIn this paper, we analyze the longtime behavior of the wave equation with local Kelvin-Voigt Damping. Through introducing proper class symbol and pseudo-diff-calculus, we obtain a Carleman estimate, and then establish an estimate on the corresponding resolvent operator. As a result, we show the logarithmic decay rate for energy of the system without any geometric assumption on the subdomain on which the damping is effective
We prove local energy decay for the damped wave equation on R^d. The problem which we consider is gi...
Abstract: In a bounded domain, we consider the wave equation with a local dissipa-tion. We prove the...
In this paper the qualitative behaviour of a damped linear wave equation with memory is studied. A n...
International audienceIn this paper, we analyze the longtime behavior of the wave equation with loca...
In this paper we analyze the long time behavior of a wave equation with local Kelvin-Voigt Damping. ...
International audienceWe consider the wave equation with Kelvin–Voigt damping in a bounded domain. T...
ABSTRACT. In this paper, we study uniform exponential stabilization of the vibrations of the Kelvin-...
We consider the wave equation with two types of locally distributed damping mechanisms: a frictiona...
AbstractBy means of global Carleman-type estimate, we study the stabilization problem of the wave eq...
summary:We are concerned with a transmission problem for the Kirchhoff plate equation where one smal...
AbstractWe study the problem of decay rate for the solutions of the initial–boundary value problem t...
We study a nonlocal wave equation with logarithmic damping, which is rather weak in the low-frequenc...
We consider a class of wave equations of the type ∂ tt u + Lu + B∂ t u = 0, with a self-adjoint oper...
This article concerns a one-dimensional wave equation with a small amount of Kelvin-Voigt damping. ...
The authors establish decay rates for the energy associated with the Cauchy problem{ utt − div(b(x)∇...
We prove local energy decay for the damped wave equation on R^d. The problem which we consider is gi...
Abstract: In a bounded domain, we consider the wave equation with a local dissipa-tion. We prove the...
In this paper the qualitative behaviour of a damped linear wave equation with memory is studied. A n...
International audienceIn this paper, we analyze the longtime behavior of the wave equation with loca...
In this paper we analyze the long time behavior of a wave equation with local Kelvin-Voigt Damping. ...
International audienceWe consider the wave equation with Kelvin–Voigt damping in a bounded domain. T...
ABSTRACT. In this paper, we study uniform exponential stabilization of the vibrations of the Kelvin-...
We consider the wave equation with two types of locally distributed damping mechanisms: a frictiona...
AbstractBy means of global Carleman-type estimate, we study the stabilization problem of the wave eq...
summary:We are concerned with a transmission problem for the Kirchhoff plate equation where one smal...
AbstractWe study the problem of decay rate for the solutions of the initial–boundary value problem t...
We study a nonlocal wave equation with logarithmic damping, which is rather weak in the low-frequenc...
We consider a class of wave equations of the type ∂ tt u + Lu + B∂ t u = 0, with a self-adjoint oper...
This article concerns a one-dimensional wave equation with a small amount of Kelvin-Voigt damping. ...
The authors establish decay rates for the energy associated with the Cauchy problem{ utt − div(b(x)∇...
We prove local energy decay for the damped wave equation on R^d. The problem which we consider is gi...
Abstract: In a bounded domain, we consider the wave equation with a local dissipa-tion. We prove the...
In this paper the qualitative behaviour of a damped linear wave equation with memory is studied. A n...
DOI
Add to ORKG