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 â‰¥ 3. Theâ€¦ (More)

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at theâ€¦ (More)

where V âˆˆ C(R, R), |âˆ‚ xV (x)| â‰¤ Î²|j|(1 + |x|)âˆ’(Î±+|j|) for |j| â‰¤ 2 and some Î± > 1. We give estimates and asymptotics for scattering solutions and scattering data for the equation (âˆ—) for the case ofâ€¦ (More)

We consider the simultaneous reconstruction of the absorption coefficient and the source term in a linear transport equation from available boundary measurements. This problem finds applications inâ€¦ (More)

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from full knowledge of the albedo operator at the boundary of aâ€¦ (More)

In this paper we generalize the results of the author [Jo]. Consider the multidimensional Newton-Einstein equation in static electromagnetic field á¹— = F (x, áº‹), F (x, áº‹) = âˆ’âˆ‡v(x) + 1 c B(x)áº‹, p = áº‹ âˆšâ€¦ (More)

In this paper, we consider inverse scattering and inverse boundary value problems at sufficiently large and fixed energy for the multidimensional relativistic Newton equation with an externalâ€¦ (More)

Abstract. In this paper, we consider inverse scattering and inverse boundary value problems at sufficiently large and fixed energy for the multidimensional relativistic and nonrelativistic Newtonâ€¦ (More)

This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from knowledge of angularly averaged measurements performed at theâ€¦ (More)

where V âˆˆ C(R, R), B(x) is the n Ã— n real antisymmetric matrix with elements Bi,k(x), Bi,k âˆˆ C(R, R) (and B satisfies the closure condition), and |âˆ‚j1 x V (x)| + |âˆ‚j2 x Bi,k(x)| â‰¤ Î²|j1|(1 +â€¦ (More)