394 research outputs found

    Non-uniqueness for a critical nonlinear heat equation

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    Here we consider a class of non-linear heat equation with polynomial non-linearity. We prove a non-uniqueness result for mild solutions which take values in a critical Lebesgue space. To this end we extend to the entire space a counter-example of Ni and Sacks in the case where the underlying space is the ball of center 0 and of radius 1. We also propose a new criterion of uniqueness optimal with respect to the given counter-examples. The proof of our results lie on some estimates for the heat kernel in Lorentz spaces introduced by Meyer in the Navier–Stokes context

    Fractal fluctuations in quantum integrable scattering

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    We theoretically and numerically demonstrate that completely integrable scattering processes may exhibit fractal transmission fluctuations, due to typical spectral properties of integrable systems. Similar properties also occur with scattering processes in the presence of strong dynamical localization, thus explaining recent numerical observations of fractality in the latter class of systems

    Distribution of resonance widths in localized tight-binding models

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    We numerically analyze the distribution of scattering resonance widths in one- and quasi-one dimensional tight binding models, in the localized regime. We detect and discuss an algebraic decay of the distribution, similar, though not identical, to recent theoretical predictions

    Stabilità e mutamento della scala di stratificazione occupazionale in Italia

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    Our study investigates changes occurred in the Italian social stratification in the last twenty years.It is based on stratification studies that consider individual occupations as the main aspect of the immaterial and material resource allocation and, more precisely, the studies that order occupations along a continuum by their social desiderability. At this aim we compare the de Lillo-Schizzerotto Scale (1985) with a new edition of the same scale, realized in 2005 by an inter-university research equipe; doing this, we focused on scores and ranking of the occupational categories in the two scales.Metric and ordinal association measures between the two Scales do not show significant changes in the structure of perceived desiderability of occupations in the Italian labour market.Therefore, in this point of view, twenty years later results confirm the stability of the social inequality system in our country

    Impact of hemoglobin concentration and affinity for oxygen on tissue oxygenation : the case of hemoglobin-based oxygen carriers

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    In patients undergoing exchange-transfusion with hemoglobin (Hb)-based oxygen (O2) carriers (HBOC), native Hb coexists with newly transfused Hb. The two Hb types share the same arterial and venous PO2, but their affinities for O2 vary. A simple spreadsheet model is described aiming at evaluating the contribution of each Hb type to the overall O2 transport characteristics as a function of the batch Hb concentration and O2 affinity in the HBOC solution, of the fraction of exchange-transfused blood/HBOC, and of the arterial PO2. This model helps to yield a quantitative estimate of how tissues with high or low O2 extraction respond to the changes cited above. The results show that the higher the exchange-transfusion ratio, the O2 transport to tissues becomes progressively impaired. However, this effect is more critical at low batch Hb concentration and high O2 affinity of the HBOC, especially for tissues/organs with high O2 extraction, whereas the arterial PO2 does not appear as critica

    Non-radial maximizers for functionals with exponential non-linearity in R-2

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    We consider the functional F:H-0(1)(B(0,1))-> R F(u)=integral(B(0,1)) vertical bar x vertical bar(alpha)(e(p vertical bar u vertical bar gamma)-1-p vertical bar u vertical bar(gamma))dx where alpha>0, p>0, 1<= 2, and B(0,1) is the unit ball in R-2. We prove that for any p>0, 1<2 and 0<4 pi, gamma=2 no maximizer of F(u) on the unit ball in H-0(1) is radially symmetric provided that alpha is large enough. This extends a result of Smets, Su and Willem concerning the existence of non-radial ground state solutions for the Rayleigh quotient related to the Henon equation with Dirichlet boundary conditions

    Social inequalities and pharmaceutical cost-sharing in Italian regions

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    In recent years, Italian citizens have increasingly been asked to share pharmaceutical costs, but at the same time, households’ medicines expenditure has decreased. Cost-sharing policies have to be assessed not just in terms of limitation of moral hazard and revenue to the state, but also for equal opportunities for citizen users accessing health services. The aim of this article is to analyze how Italian co-payment policies (“ticket”) on medicines may affect pharmaceutical expenditure of households, considering territorial and social groups variation. We reviewed the per capita private spending on medicines of Italian regions, separating pharmaceutical outlay and “ticket.” Across the period 2001–2010 we found that the overall per capita private spending on medicines remained substantially stable, although medicine expenditure decreases while the “ticket” increases. When cost sharing rises, out-of-pocket spending on medicines by poorer families seems to remain unchanged; however, poorer families seem to reduce their pharmaceutical expenditure. Our analysis suggests that applying co-payment in Italy is partly successful, in terms of greater revenue to the health system, but in the last few years, cost-sharing increases would seem to have rebounded negatively on more vulnerable families, due to the economic crisis
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