This work concerns regional controllability of linear and semi linear hyperbolic systems as in ([9, 10, 11]) but the results are established with more flexible conditions. Also we consider the case where the subregion of interest is a boundary part of the system evolution domain.Then we give illustrations of different results through many examples and simulations.

We study the impact of the symmetry breaking patterns from supersymmetric SO(10) down to the standard model on the standard big-bang cosmology through the formation of topological defects. None of the models is consistent with the standard cosmology without invoking any mechanism to solve the monopole problem. For this purpose, we use a hybrid false vacuum inflationary scenario. Only two symmet...

In recent years Laura Kallmeyer, Maribel Romero, and their collaborators have led research on TAG semantics through a series of papers refining a system of TAG semantics computation. Kallmeyer and Romero bring together the lessons of these attempts with a set of desirable properties that such a system should have. First, computation of the semantics of a sentence should rely only on the relatio...

I rst celebrate the immense success of twentieth century physics, but then urge that the future may bring many surprises, even in the basic structures of physical