AbstractHere we are concerned about the stability of the solution of internally damped wave equationy″=Δy+μΔy′ with small damping constant μ>0, in a bounded domain Ω inRnunder mixed undamped boundary conditions. A uniform exponential energy decay rateE(t)≤Me−βtE(0) whereM≥1 and β=μ/μ0, μ0being a quadratic function of μ, is proved for the solution of this type of boundary value problem. Earlier authors have considered the undamped wave equation with certain forms of damped boundary conditions proving similar and faster energy decay rates
In this talk, we study the global existence of solutions and decay estimates of the energy for the n...
AbstractAn energy decay rate is obtained for solutions of wave type equations in a bounded region in...
International audienceIn this paper, we consider a damped wave equation with a dynamic boundary cont...
AbstractHere we are concerned about the stability of the solution of internally damped wave equation...
The boundary stabilisation of the problem satisfying the differential equation y"+λy"' = c2(Δy +μΔy'...
AbstractThe initial boundary value problem for an integro-differential equation with strong damping ...
AbstractIn this paper we first show that the total energy of solutions for a semilinear system of el...
AbstractThe wave equation with a source term is consideredutt−Δu=|u|ρuinΩ×(0,+∞).We prove the existe...
International audienceThis paper is concerned with decay estimate of solutions to the semilinear wav...
This paper studies a wave equation on a bounded domain in Rd with nonlinear dissipation which is loc...
Abstract: In a bounded domain, we consider the wave equation with a local dissipa-tion. We prove the...
Notes on the Energy decay for damped wave equations By 西 山 尚 志 (Hisashi Nishiyama)∗ We introduce the...
AbstractIn this paper we first show that the total energy of solutions for a semilinear system of el...
ABSTRACT. In this paper, we study uniform exponential stabilization of the vibrations of the Kelvin-...
The authors establish decay rates for the energy associated with the Cauchy problem{ utt − div(b(x)∇...
In this talk, we study the global existence of solutions and decay estimates of the energy for the n...
AbstractAn energy decay rate is obtained for solutions of wave type equations in a bounded region in...
International audienceIn this paper, we consider a damped wave equation with a dynamic boundary cont...
AbstractHere we are concerned about the stability of the solution of internally damped wave equation...
The boundary stabilisation of the problem satisfying the differential equation y"+λy"' = c2(Δy +μΔy'...
AbstractThe initial boundary value problem for an integro-differential equation with strong damping ...
AbstractIn this paper we first show that the total energy of solutions for a semilinear system of el...
AbstractThe wave equation with a source term is consideredutt−Δu=|u|ρuinΩ×(0,+∞).We prove the existe...
International audienceThis paper is concerned with decay estimate of solutions to the semilinear wav...
This paper studies a wave equation on a bounded domain in Rd with nonlinear dissipation which is loc...
Abstract: In a bounded domain, we consider the wave equation with a local dissipa-tion. We prove the...
Notes on the Energy decay for damped wave equations By 西 山 尚 志 (Hisashi Nishiyama)∗ We introduce the...
AbstractIn this paper we first show that the total energy of solutions for a semilinear system of el...
ABSTRACT. In this paper, we study uniform exponential stabilization of the vibrations of the Kelvin-...
The authors establish decay rates for the energy associated with the Cauchy problem{ utt − div(b(x)∇...
In this talk, we study the global existence of solutions and decay estimates of the energy for the n...
AbstractAn energy decay rate is obtained for solutions of wave type equations in a bounded region in...
International audienceIn this paper, we consider a damped wave equation with a dynamic boundary cont...