ABSTRACT. We consider the self-adjoint operator governing the propagation of elas-tic waves in perturbed stratified media $\mathrm{R}^{3} $ with free boundary-interface conditions. In this paper we establish the limiting absorption principle for this self-adjoint operator in appropriate Hilbert space. The proof of the limiting absorption principle is based on the division theorem which is proved by means of eigenfunction expansions for the self-adjoint operator governing the propagation of elastic waves in unperturbed stratified media $\mathrm{R}^{3} $. 1
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium...
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium...
In a layered system, the interface between two media presents an intrinsic inhomogeneity even when t...
This paper provides eigenfunction expansions associated with the stationary problems for elastic wav...
We prove a limiting absorption principle for sesquilinear forms on Hilbert spaces and apply the abst...
Consider the diffraction problem for perturbed acoustic propagators with perturbations decreasing sl...
AbstractIn this article the spectral analysis of the self adjoint operator governing the propagation...
AbstractIn this article, we are concerned with the propagation of elastic waves in isotropic heterog...
AbstractThe wave equation (∂2t + Ĥ)u = 0 with Ĥ ≔ −f2(z)∇zg(z)∇z, z = (x, y) ∈ Rm+n describes the pr...
Energy distribution of the solutions of various wave propagation problems has been studied by C. H. ...
This paper deals with the asymptotic energy distributions for large times of the solutions of elasti...
In the present paper we study the limiting absorption principle for the acoustic wave operators in t...
AbstractThe wave equation (∂t2+Ĥ)Ψ=0 withĤ=−c2(x,y)ρ(x,y)▽z·ρ(x,y)−1▽z, z=(x,y),xϵRk,yϵRm, describ...
SIGLECNRS RS 14802 E / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium...
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium...
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium...
In a layered system, the interface between two media presents an intrinsic inhomogeneity even when t...
This paper provides eigenfunction expansions associated with the stationary problems for elastic wav...
We prove a limiting absorption principle for sesquilinear forms on Hilbert spaces and apply the abst...
Consider the diffraction problem for perturbed acoustic propagators with perturbations decreasing sl...
AbstractIn this article the spectral analysis of the self adjoint operator governing the propagation...
AbstractIn this article, we are concerned with the propagation of elastic waves in isotropic heterog...
AbstractThe wave equation (∂2t + Ĥ)u = 0 with Ĥ ≔ −f2(z)∇zg(z)∇z, z = (x, y) ∈ Rm+n describes the pr...
Energy distribution of the solutions of various wave propagation problems has been studied by C. H. ...
This paper deals with the asymptotic energy distributions for large times of the solutions of elasti...
In the present paper we study the limiting absorption principle for the acoustic wave operators in t...
AbstractThe wave equation (∂t2+Ĥ)Ψ=0 withĤ=−c2(x,y)ρ(x,y)▽z·ρ(x,y)−1▽z, z=(x,y),xϵRk,yϵRm, describ...
SIGLECNRS RS 14802 E / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium...
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium...
In this paper, we present a semiclassical description of surface waves or modes in an elastic medium...
In a layered system, the interface between two media presents an intrinsic inhomogeneity even when t...