The paper identifies a lack of research in the field of telecommunications in the context of small economies. The central research question of the paper is whether there exist significant differences between small and large economies with relation to the effects of liberalization and alternative technologies on Universal Service that would necessitate the consideration of smallness in the formu...

Abstract. We establish the global existence and uniqueness of strong solutions to the initial boundary value problem for the incompressible MHD equations in bounded smooth domains of R under some suitable smallness conditions. The initial density is allowed to have vacuum, in particular, it can vanish in a set of positive Lebessgue measure. More precisely, under the assumption that the producti...

We give conditions on a general stress-energy tensor Tαβ in a spherically symmetric black hole spacetime which are sufficient to guarantee that the black hole will contain a (spherically symmetric) marginally trapped tube which is eventually achronal, connected, and asymptotic to the event horizon. Price law decay per se is not required for this asymptotic result, and in this general setting, s...

We establish new existence results for the Einstein constraint equations for mean extrinsic curvature arbitrarily far from constant. The results hold for rescaled background metric in the positive Yamabe class, with freely specifiable parts of the data sufficiently small, and with matter energy density not identically zero. Two technical advances make these results possible: A new topological f...

Several methods proposed to measure the angle γ in the KM unitarity triangle assumed that the tree contribution to B− → π−K̄0 is purely due to annihilation contributions and is negligibly small. This assumption has to be tested in order to have a correct interpretation of the experimental data. In this paper we show that using SU(3) symmetry, the smallness of the tree contribution can be tested ...

We obtain the global large solutions to compressible Navier–Stokes equations in \({\mathbb {R}}^2\). The solution is sense that there no smallness assumption applied one component of initial incompressible velocity.