Add to ORKGWe study the energy decay for the Cauchy problem of the wave equation with nonlinear time-dependent and space-dependent damping. The damping is localized in a bounded domain and near infinity, and the principal part of the wave equation has a variable-coefficient. We apply the multiplier method for variable-coefficient equations, and obtain an energy decay that depends on the property of the coefficient of the damping term
We show that the total energy decays at the rate $E_u(t) = O(t^{-2})$, as $t \to +\infty$, for solu...
In this paper we obtain an exponential rate of decay for the solution of the viscoelastic nonlinear ...
We prove local energy decay for the damped wave equation on R^d. The problem which we consider is gi...
AbstractWe study the problem of decay rate for the solutions of the initial–boundary value problem t...
AbstractA uniform local energy decay result is derived to the linear wave equation with spatial vari...
AbstractWe prove some decay estimates of the energy of the wave equation in a bounded domain. The da...
We establish weighted L²−estimates for dissipative wave equations with variable coefficients that ex...
International audienceWe consider the initial-value problem for the one-dimensional, time-dependent ...
Abstract: In a bounded domain, we consider the wave equation with a local dissipa-tion. We prove the...
The authors establish decay rates for the energy associated with the Cauchy problem{ utt − div(b(x)∇...
We consider the initial-value problem for the one-dimensional, time-dependent wave equation with pos...
We consider the wave equation damped with a locally distributed nonlinear dissipation. We improve se...
This paper studies a wave equation on a bounded domain in Rd with nonlinear dissipation which is loc...
Abstract. We study the asymptotic behavior of energy for wave equations with nonlinear damping g(ut)...
Abstract. We study the decay estimates of the energy for the wave equation in an exterior domain wit...
We show that the total energy decays at the rate $E_u(t) = O(t^{-2})$, as $t \to +\infty$, for solu...
In this paper we obtain an exponential rate of decay for the solution of the viscoelastic nonlinear ...
We prove local energy decay for the damped wave equation on R^d. The problem which we consider is gi...
AbstractWe study the problem of decay rate for the solutions of the initial–boundary value problem t...
AbstractA uniform local energy decay result is derived to the linear wave equation with spatial vari...
AbstractWe prove some decay estimates of the energy of the wave equation in a bounded domain. The da...
We establish weighted L²−estimates for dissipative wave equations with variable coefficients that ex...
International audienceWe consider the initial-value problem for the one-dimensional, time-dependent ...
Abstract: In a bounded domain, we consider the wave equation with a local dissipa-tion. We prove the...
The authors establish decay rates for the energy associated with the Cauchy problem{ utt − div(b(x)∇...
We consider the initial-value problem for the one-dimensional, time-dependent wave equation with pos...
We consider the wave equation damped with a locally distributed nonlinear dissipation. We improve se...
This paper studies a wave equation on a bounded domain in Rd with nonlinear dissipation which is loc...
Abstract. We study the asymptotic behavior of energy for wave equations with nonlinear damping g(ut)...
Abstract. We study the decay estimates of the energy for the wave equation in an exterior domain wit...
We show that the total energy decays at the rate $E_u(t) = O(t^{-2})$, as $t \to +\infty$, for solu...
In this paper we obtain an exponential rate of decay for the solution of the viscoelastic nonlinear ...
We prove local energy decay for the damped wave equation on R^d. The problem which we consider is gi...