We study the stability of the reconstruction of the scattering and absorption coefficients in a stationary linear transport equation from knowledge of the full albedo operator in dimension n ≥ 3. The albedo operator is defined as the map-ping from the incoming boundary conditions to the outgoing transport solution at the boundary of a compact and convex domain. The uniqueness of the recon-struction was proved in [3, 4] and partial stability estimates were obtained in [13] for spatially independent scattering coefficients. We generalize these results and prove an L1-stability estimate for spatially dependent scattering coefficients.
We characterize the non-uniqueness in the inverse problem for the stationary transport model, in whi...
In the present work the inverse problem of identification of radiative properties, the total extinct...
Many inverse problems are known to be ill-posed. The ill-posedness can be manifested by an instabili...
Abstract. For anisotropic attenuating media, the albedo operator determines the scattering and the a...
For anisotropic attenuating media, the albedo operator determines the scattering and the attenuating...
For anisotropic attenuating media, the albedo operator determines the scattering and the attenuating...
Abstract. For anisotropic attenuating media, the albedo operator determines the scattering and the a...
For anisotropic attenuating media, the albedo operator determines the scattering and the attenuating...
This paper concerns the reconstruction of the absorption and scattering parameters in a time-depende...
In the inverse stationary transport problem through anisotropic attenuating, scattering, and refract...
In this article, we consider inverse problems of determining a source term and a coefficient of a fi...
Cette thèse est consacrée à la détermination de coefficients inconnus apparaissant dans l’équation l...
In this paper we consider the inverse problem of recovering the total extinction coefficient and the...
We characterize the non-uniqueness in the inverse problem for the stationary transport model, in whi...
We characterize the non-uniqueness in the inverse problem for the stationary transport model, in whi...
We characterize the non-uniqueness in the inverse problem for the stationary transport model, in whi...
In the present work the inverse problem of identification of radiative properties, the total extinct...
Many inverse problems are known to be ill-posed. The ill-posedness can be manifested by an instabili...
Abstract. For anisotropic attenuating media, the albedo operator determines the scattering and the a...
For anisotropic attenuating media, the albedo operator determines the scattering and the attenuating...
For anisotropic attenuating media, the albedo operator determines the scattering and the attenuating...
Abstract. For anisotropic attenuating media, the albedo operator determines the scattering and the a...
For anisotropic attenuating media, the albedo operator determines the scattering and the attenuating...
This paper concerns the reconstruction of the absorption and scattering parameters in a time-depende...
In the inverse stationary transport problem through anisotropic attenuating, scattering, and refract...
In this article, we consider inverse problems of determining a source term and a coefficient of a fi...
Cette thèse est consacrée à la détermination de coefficients inconnus apparaissant dans l’équation l...
In this paper we consider the inverse problem of recovering the total extinction coefficient and the...
We characterize the non-uniqueness in the inverse problem for the stationary transport model, in whi...
We characterize the non-uniqueness in the inverse problem for the stationary transport model, in whi...
We characterize the non-uniqueness in the inverse problem for the stationary transport model, in whi...
In the present work the inverse problem of identification of radiative properties, the total extinct...
Many inverse problems are known to be ill-posed. The ill-posedness can be manifested by an instabili...