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Using arguments developed by De Giorgi in the 1950's, it is possible to prove the regularity of the solutions to a vast class of variational problems in the Euclidean space. The main goal of the present thesis is to extend these results to the more abstrac ...
Publish/subscribe is considered one of the most important interaction styles for the explosive market of enterprise application integration. Producers publish information on a software bus and consumers subscribe to the information they want to receive fro ...
Recently, several approaches for communications using chaos have been presented, often showing less than acceptable performance. In this paper, a short introduction to the topic is given, and it is shown that such methods can be efficient—if the informatio ...
Set agreement, where processors decisions constitute a set of outputs, is notoriously harder to analyze than consensus where the decisions are restricted to a single output. This is because the topological questions that underly set agreement are not about ...
The nonlinear Schrödinger equation i∂tw + Δw +V(x)|w|p-1w = 0 w = w(t,x) : Ι × RN → C, N ≥ 2, (1) is studied, with p > 1, V : RN \ {0} → R and Ι ⊂ R an interval. The coefficient V is subject to various hypotheses. In particular, it is always assumed ...
In this note, we provide an analytical approximation to the exponential integral valid for all values of its argument. The approximation is constructed by interpolation between the exponential integral's small and large asymptotes.The interpolation contain ...
In the mid 1990s the European railway community – under the aegis of the Union Internationale des Chemins de fer (UIC) – opted for GSM as the standard to replace existing analogue railway radio systems. The decision was taken on two grounds: GSM was a non- ...
We find a uniform semiclassical (SC) wave function describing coherent branched flow through a two-dimensional electron gas (2DEG), a phenomenon recently discovered by direct imaging of the current using scanned probed microscopy [M.A. Topinka, B.J. LeRoy, ...
The CSCL community faces two main challenges with respect to learning and argumentation. The scientific challenge is to understand how argumentation produces learning, that is to discover which cognitive mechanisms, triggered by argumentative interactions, ...
Glutamate uptake into astrocytes and the resulting increase in intracellular Na+ (Na+(i)) have been identified as a key signal coupling excitatory neuronal activity to increased glucose utilization. Arguments based mostly on mathematical modeling led to th ...
