We study an inverse problem for the fractional Allen-Cahn equation. Our formulation and arguments rely on the asymptotics for the fractional equation and unique continuation properties.
14:36 – I am slightly late, but Tim is still there with his previous meeting, finishing lunch. This table has witnessed hundreds of conversations and is surely a landmark for public archaeology. I am not going to make a biography here, maybe you can learn something about him from the interview. If you follow this journal, and public archaeology, you probably know something about him already.
This paper will deal with differentiability properties of the class of Hellinger-Kantorovich distances which was recently introduced on the space of finite nonnegative Radon measures.
In this paper we prove a global spacetime bound for the quintic, nonlinear wave equation in three dimensions. This bound depends on the $L_{t}^{\infty} L_{x}^{2}$ and $L_{t}^{\infty} \dot{H}^{2}$ norms of the solution to the quintic problem.
We prove a removable singularities theorem for point singularities of the coupled yang mills fermion equations, on a bundle over a two dimensional base space.
We focus on some regularity properties of $ω$-minima of variational integrals with $\varphi$-growth and we provide an upper bound on the Hausdorff dimension of their singular set.
In post-modernity, the millenarian search for mythical sites has become a tourist attraction and the process of culturalization of consumption has created and is creating a new global heritage. Places already celebrated for leisure have been reinvented as mythical and archaeological sites. A good example is the Atlantis Hotel on Paradise Island, in the Bahamas. Here, Plato’s mythical Atlantis has inspired an underwater pseudo-archaeological reconstruction of a civilization that most likely had never existed. The myth-making force of the sea transforms the false ruins and affects how they are perceived. This is quite consistent with a tourism where authenticity has lost its traditional value and sensory gratifications have replaced it. A more recent Atlantis Hotel in Dubai and another one under construction in China show the vitality of this myth and the strength of the thematization of consumption. Other examples confirm this tendency in even more grotesque ways. At the core of this process there is the body: the tourist’s and the consumer’s body. The post-modernity has enhanced its use as tool and icon of consumption.
The following article addresses notions of communication of archaeology and communication between archaeology and society in Poland—past and present. The examination of these two issues begins with a presentation of their historical background, rooted in a political, economic and sociological context. Through reaching back to the past of the Polish state some trends in presenting archaeology to the public can be easily traced. Particular ways of communicating archaeology to the general public are deeply connected with tradition and the wider social and political context, all of which have an undoubtful impact on the reception and perception of archaeology—as a science and as a profession. New technologies, through which communication between archaeologists and society takes place, are definitely used in Poland nowadays, however, the ways in which information is constructed should refer to the existing experience. What should be found is some common ground on which new technologies and traditional ideas of presentation of archaeology could work together and create the most efficient presentation.
We give some estimates of type sup*inf for the prescribed scalar curvature equation in dimension 4 and 5, under some condtion on the prescribed curvature.
We prove estimates for eigenfunctions on a manifold equipped with a smooth metric. We use these estimates in order estimate the size of their nodal sets.