We study nonnegative solutions of the Cauchy problem

The deep relationships, already existing since the 8th century BC, with Etruscan and Greek culture have triggered in the indigenous communities of Apulia and Basilicata a series of socio-cultural dynamics that will lead to a fundamental stage of social differentiation, based no longer on the role but on the high rank. If in the previous centuries the warrior was characterized only by the presence of the bronze spear, from the end of the 9th and especially in the 8th century the element that distinguishes it is the sword, which becomes a symbol of personal prestige. In this phase, the armed people is often accompanied by instruments connected with specialized activities (chisels) or with agriculture (agricultural tools), which also express the control of the means of production and the new concept of land ownership. In very rare cases, in the funerary assemblages there are some prestige goods imported from Etruria or from Cumae, such as bronze basins, lebetes and cauldrons, connected with ceremonial practices of Euboic- Tyrrhenian influence. By the 7th century BC, when the so-called phenomenon of the "birth of the princes" is affirmed, the traditional warlike ideology of the indigenous aristocracy does not seem to undergo deep changes. The high rank of the warrior continues to be highlighted by the sword, but also by the spear and shield. However, the assemblages are enriched with numerous prestige goods that circulate along the routes that connect Basilicata and Apulia to the Etruscan Campania, especially bronze vases and other valuable objects, bearers of a new aristocratic cultural model. A different framework is offered by the tombs of warriors related to the 6th century BC, which present more articulated assemblages, in which are found many prestige goods from the Etruscan and Hellenic world, such as bronze vases and figured pottery, while the panoply is enriched with Corinthian helmets, greaves and shields with figured girders (schildband) according to the customs of the Greek hoplites. It is above all a parade armament that serves to emphasize the rank and the high social level of the deceased. Another data is given by the presence of the chariot that characterizes not only the male tombs, but also the female ones of the dominant classes. If, on the one hand, it is proposed as an instrument of war, on the other it constitutes a further sign of social distinction. The use of the horse is attested by the presence in some exceptional burials of very precious parade harnesses that protect the chest and the muzzle, often characterized by a refined figured decoration. The ceremonial and symbolic use of these elements of the panoply, as well as of figured girders of shields and swords, are emphasized by the ornamental and figured themes, but also by the presence of Black-Figure Attic pottery with mythical episodes and war scenes or gender representations through which the heroic world of the prince is expressed. Towards the end of the 6th century BC and in the subsequent one there was a substantial continuity with the warlike ideology of the Archaic period, even if the armament no longer constitutes the main element of attention for the ruling classes, now replaced by convivial practices. In some cases, figured Attic pottery and weapons constitute a complex system of images with references to the reality of combat (we can think to the labours of Heracles or the duels of Achilles), which constitute precise symbols of self-representation and recall the heroic condition of the deceased.

The first carved ambers appear in the Adriatic area at the end of the eighth century BC with the beginning of the Orientalizing period. Among the most active centers, the Etruscan Verucchio is one of the main poles for the sorting of amber. At the beginning of the sixth century, a fundamental role is exercised from Piceno and the Etruscan Felsina, whose intercept part of the tra!cs previously directed on the Adriatic road. Real amber sculptures of high stylistic level appear towards the second half of the sixth century, found in the rich italic tombs (Basilicata, Apulia, Piceno), traced back to two specialized workshops, localizable in Canosa and Armento, at whose birth they certainly contributed artisans from Ionia and from Etruria.

The discoveries of the last thirty years in Apulia have highlighted the leading role of this region, and especially ancient Peucetia, in the evolution of Lucanian and Apulian red-figured pottery. In fact, from the last decades of the fifth century BC onwards the aristocratic classes of Apulia (in the fourth century also those of the Daunian district) were the main patrons and consumers of the products of Italic workshops. As the most complex elements of the funerary assemblage there was a specific demand for those objects. They were entrusted with the ideological messages and representative needs of the deceased, displaying their wealth, the social role they played in life, and their adoption of cultural and ideological models of Hellenic origin. They also refer to the deceased's forms of religiosity and to their adherence to and participation in beliefs of 'salvific type', albeit filtered through their own cultural values and ideologies. In fact, it is highly likely that the needs of such a rarefied patronage influenced Italic figured production from the beginning their specific requests governed the selection of themes and compositions.

We obtain sharp decay estimates in time in the context of Sobolev spaces for smooth solutions to the one-dimensional Jin Xin model under the diffusion scaling, which are uniform with respect to the singular parameter of the scaling. This provides the convergence to the limit nonlinear parabolic equation both for large time and for the vanishing singular parameter. The analysis is performed by means of two main ingredients. First, a crucial change of variables highlights the dissipative property of the Jin Xin system and allows us to observe a faster decay of the dissipative variable with respect to the conservative one, which is essential in order to close the estimates. Next, the analysis relies on a deep investigation of the Green function of the linearized Jin Xin model, depending on the singular parameter, combined with the Duhamel formula in order to handle the nonlinear terms.

We consider the Schrödinger operator -?+V for negative potentials V, on open sets with positive first eigenvalue of the Dirichlet-Laplacian. We show that the spectrum of -?+V is positive, provided that V is greater than a negative multiple of the logarithmic gradient of the solution to the Lane-Emden equation -?u=u (for some 1<=q<2). In this case, the ground state energy of -?+V is greater than the first eigenvalue of the Dirichlet-Laplacian, up to an explicit multiplicative factor. This is achieved by means of suitable Hardy-type inequalities, that we prove in this paper.

Given a bounded open set in [Formula presented], [Formula presented], and a sequence [Formula presented] of compact sets converging to an [Formula presented]-dimensional manifold [Formula presented], we study the asymptotic behaviour of the solutions to some minimum problems for integral functionals on [Formula presented], with Neumann boundary conditions on [Formula presented]. We prove that the limit of these solutions is a minimiser of the same functional on [Formula presented] subjected to a transmission condition on [Formula presented], which can be expressed through a measure [Formula presented] supported on [Formula presented]. The class of all measures that can be obtained in this way is characterised, and the link between the measure [Formula presented] and the sequence [Formula presented] is expressed by means of suitable local minimum problems.

We systematically investigate the role of different swimming patterns on the concentration distribution of bacterial suspensions confined between two flat walls, by considering wild-type motility Escherichia coli and Pseudomonas aeruginosa, which perform Run and Tumble and Run and Reverse patterns, respectively. The experiments count motile bacteria at different distances from the bottom wall. In agreement with previous studies, an accumulation of motile bacteria close to the walls is observed. Different wall separations, ranging from 100 to 250?m, are tested. The concentration profiles result to be independent on the motility pattern and on the walls' separation. These results are confirmed by numerical simulations, based on a collection of self-propelled dumbbells-like particles interacting only through steric interactions. The good agreement with the simulations suggests that the behavior of the investigated bacterial suspensions is determined mainly by steric collisions and self-propulsion, as well as hydrodynamic interactions.

This book constitutes the refereed proceedings of the 9th International Conference on Computational Logistics, ICCL 2018, held in Vietri sul Mare, Italy, in October 2018. The 32 full papers presented were carefully reviewed and selected from 71 submissions. They are organized in topical sections as follows: maritime shipping and routing, container handling and container terminals, vehicle routing and multi-modal transportation, network design and scheduling, logistics oriented combinatorial optimization.

Routine in linguaggio R per il controllo ottimo delle specie invasive

La proprietà di conservazione della positività dei metodi numerici applicati ai sistemi differenziali di tipo ODE e PDE a valori iniziali e/o ai bordi, è un argomento di ricerca di notevole interesse. La positività del flusso numerico è un aspetto fondamentale in numerose applicazioni che vanno dalla biologia computazionale, alla dinamica molecolare, alla modellistica in ambito ecologico, dovunque risulti fondamentale che le grandezze in gioco (popolazioni, densità, concentrazioni) non assumano valori negativi. Tale condizione, fatta eccezione per lo schema di Eulero Implicito, non è verificata dai metodi standard (Runge-Kutta o multistep), a meno di imporre restrizioni sul passo di integrazione talvolta molto significative. Tuttavia, le restrizioni sul passo di integrazione diminuiscono sensibilmente l'efficienza dei metodi numerici a tal punto da renderli di fatto inutilizzabili nelle applicazioni reali. La letteratura più recente si è quindi focalizzata sulla costruzione di integratori numerici che garantiscono la positività del flusso numerico per costruzione. Tra i lavori su questo argomento, citiamo [10, 4] in cui vengono proposte tecniche di splitting and composition per la soluzione di modelli differenziali.

Relazione attività di collaborazione occasionale "Supporto alla gestione progettuale e alla diffusione dei risultati nell'ambito del programma POR-FESR LAZIO 2014-2020, con particolare riferimento ai progetti CLINAIR di Life 2020 e COURIER di Aerospazio e Sicurezza"; elenco attività svolte e analisi risultati della collaborazione. Periodo attività 13/03/2018 - 12/06/2018.

Rapporto tecnico-scientifico del convegno "Mathematics for BioMedicine" dell'Istituto per le Applicazioni del Calcolo M. Picone del CNR, svolto a Roma in data 8-11 ottobre 2018, co-organizzato da Istituto per le Applicazioni del Calcolo M. Picone e Accademia Nazionale dei Lincei e finanziato da INdAM (Istituto Nazionale di Alta Matematica). Topics: immunology, cardiovascular disease, Neurology and aging desease, oncology, epidemiology, endocrinology, stem cells and tissue regeneration. Il report raccoglie obiettivi, abstract, agenda, dati sui partecipanti.

Topic Modelling (TM) is a widely adopted generative model used to infer the thematic organization of text corpora. When document-level covariate information is available, so-called Structural Topic Modelling (STM) is the state-of-the-art approach to embed this information in the topic mining algorithm. Usually, TM algorithms rely on unigrams as the basic text generation unit, whereas the quality and intelligibility of the identified topics would significantly benefit from the detection and usage of topical phrasemes. Following on from previous research, in this paper we propose the first iterative algorithm to extend STM with n-grams, and we test our solution on textual data collected from four well-known ToR drug marketplaces. Significantly, we employ a STM-guided n-gram selection process, so that topic-specific phrasemes can be identified regardless of their global relevance in the corpus. Our experiments show that enriching the dictionary with selected n-grams improves the usability of STM, allowing the discovery of key information hidden in an apparently "mono-thematic" dataset.

Space exploration is revealing the abundance of other solar systems, but at the same time is showing the uniqueness of our Planet. Using sophisticated Earth Observation technologies such as the European "Sentinels", belonging to the greatest Earth Observation programme ever realised, Copernicus, we are now getting plenty of information at unprecedented high spatial and temporal resolution. Novel approaches for blending most advanced technologies with field work and conservation issues aimed at understanding and modelling status and changes of ecosystems are at the heart of ECOPOTENTIAL, a large European H2020 project with 47 partners, running from 2015 to 2019. ECOPOTENTIAL works on 25 protected areas (PAs) in Europe and beyond, spanning all biogeographical regions of Europe and focusing on mountain, arid and semiarid, coastal and marine environments, adopting the view of ecosystems as "one physical system with their environment, characterized by strong interactions between geosphere and biosphere across multiple scales. ECOPOTENTIAL has strong links with other international research programmes, such as GEO ECO, eLTER, GEO BON and LifeWatch. In particular, all data, models and knowledge will be available on common and open platforms through a virtual laboratory contributing to the GEOSS, the Common Infrastructure of the Group on Earth Observation, an international organisation linking more than 100 countries and 100 institutions, aimed to share and make openly available Earth Observation data, and including also a wide programme for building a community of practice through seminars, training, citizen science actions and outreach.

We present a modified version of an existing lake ecosystem model, describing a trophic chain generated by nutrients, phytoplankton and zooplankton (NPZ model). The NPZ model takes into account the vertical dynamics of the biomasses of the main species. We tailor the model to specific ecosystems by including seasonality in the dynamics of the various compartments. Moreover, different species exhibit a different behaviour with respect to diffusion and to the rate of vertical movement. With this model, we simulate the ecosystem dynamics of Alpine lakes located in study sites of the H2020 ECOPOTENTIAL project.

Given an undirected weighted graph, in which each vertex is assigned to a color and one of them is identified as source, in the all-colors shortest path problem we look for a minimum cost shortest path that starts from the source and spans all different colors. The problem is known to be NP-Hard and hard to approximate. In this work we propose a variant of the problem in which the source is unspecified and show the two problems to be computationally equivalent. Furthermore, we propose a mathematical formulation, a compact representation for feasible solutions and a VNS metaheuristic that is based on it. Computational results show the effectiveness of the proposed approach for the two problems.

We consider a scenario in which it is necessary to monitor a geographical region of interest through a network of sensing devices. The region is divided into subregions of regular sizes (zones), such that if a sensor can even partially monitor the zone, the detected information can be considered representative of the entire subregion. The aim is to schedule the sensor active and idle states in order to maximize the lifetime of the network. We take into account two main types of scenarios. In the first one, the whole region is partitioned into zones. In the second one, a predefined number of possibly overlapping zones are randomly placed and oriented inside the region. We discuss how to transform any problem instance into a target coverage one, and solve the problem through a highly competitive column generation-based method.

Presentazione orale al side event - GEO Week 2018 - Sede: Kyoto (JP) - La GEO WEEK è la conferenza scientifica internazionale di GEO che precede il summit annuale dei 200 membri di GEO. Si tiene alternativamente in America, Asia, Europa, Africa e Oceania.

Terrestrial and marine ecosystems provide essential goods and services to human societies. In the last decades, however, anthropogenic pressure has produced a loss of ecosystem services that can seriously affect human wellbeing and climate processes at local and regional scale. In order to improve ecosystem benefits, knowledge-based conservation, management and restoration policies are urgently needed. Fundamental to all these is effective monitoring of the state and trends in ecosystem conditions and services. New monitoring methodologies are now available, combining approaches in geo- and bioscience, earth observation data, and in situ data. This digital poster synthesizes the objectives and methods of the ECOPOTENTIAL project, a European Horizon 2020 project started in June 2015, which has been designed to reach significant progress beyond the state of the art on ecosystem services. The project focuses its activities and pilot actions on a targeted set of internationally recognized protected areas (PA) in Europe, European Territories and beyond, over a broad range of habitats, ecosystems and landscapes, including wetlands, arid and mountain ecosystems. Gli ecosistemi terrestri e marini forniscono beni e servizi essenziali alle società umane. Negli ultimi decenni, tuttavia, la pressione antropica ha prodotto una perdita di servizi ecosistemici che può seriamente influenzare il benessere umano e i processi climatici su scala locale e regionale. Al fine di migliorare i benefici degli ecosistemi, sono urgentemente necessarie politiche di conservazione, gestione e ripristino basate sulla conoscenza. Fondamentale per tutto questo è il monitoraggio efficace dello stato e delle tendenze delle condizioni e dei servizi ecosistemici. Sono ora disponibili nuove metodologie di monitoraggio che combinano approcci in geo- e bioscienze, dati di osservazione della terra e dati in situ. Questo poster digitale sintetizza gli obiettivi e i metodi del progetto ECOPOTENTIAL, un progetto europeo Horizon 2020 iniziato nel giugno 2015, che è stato progettato per raggiungere progressi significativi oltre lo stato dell'arte sui servizi ecosistemici. Il progetto concentra le sue attività e azioni pilota su un insieme mirato di aree protette (PA) riconosciute a livello internazionale in Europa, nei territori europei e oltre, su una vasta gamma di habitat, ecosistemi e paesaggi, comprese le zone umide, gli ecosistemi aridi e montani.