44 research outputs found
Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients
No full textWe prove logarithmic conditional stability up to the final time for
backward-parabolic operators whose coefficients are Log-Lipschitz continuous in
and Lipschitz continuous in . The result complements previous
achievements of Del Santo and Prizzi (2009) and Del Santo, Jaeh and Prizzi
(2015), concerning conditional stability (of a type intermediate between
Hoelder and logarithmic), arbitrarily closed, but not up to the final time.Comment: 35 pages. Accepted manuscript. arXiv admin note: text overlap with
arXiv:1407.461
Well-posedness for hyperbolic equations whose coefficients lose regularity at one point
No full textWe prove some C∞ and Gevrey well-posedness results for hyperbolic equations whose coefficients lose regularity at one point
Conditional stability for backward parabolic operators with Osgood continuous coefficients
No full textWe prove continuous dependence on initial data for a backward parabolic operator whose leading coefficients are Osgodd continuous in time. This result fills the gap between uniqueness and continuity results obtained so far
Application of Post Occupancy Evaluation method on urban lighting design on case studies
No full textLighting system plays a key role in smart cities. Many new technologies were introduced in the last few years that can be very advantageous in terms of comfort and energy savings. Since retrofit actions can have a significant impact on urban life and users' behaviour, the evaluation of the citizens can be important to develop the design. In this paper., the application of a methodology of street lighting design based on a users' preferences (utilizing a survey) applied in three cases study in Italy is presented. The case studies are characterized by different users in terms of behaviour and ages: Santa Ninfa (TP)., the Campus of University of Palermo., and Passi district (PI). It was found that this approach can be useful to improve the performance of lighting systems by considering the opinions of the citizens
Scultore siciliano, Crocifisso, secolo XVII
No full textSi tratta di una scheda di catalogo relativa ad un Crocifisso seicentesco conservato a Prizzi e restaurato nel 2007. La scultura dal forte impatto emotivo riprende i modelli del Cristo patiens ma senza il realismo esasperato tipico di analoghi esemplari coevi
Il workshop itinerante “Archi di Piano”: un’esperienza di mappatura dinamica del territorio e co-progettazione partecipata
No full textL'articolo descrive le attività del workshop itinerante “Archi di Piano”, iniziativa di ricerca-azione condotte dai ricercatori del DARCH Unipa con sette comunità dei territori sicani in Sicilia (San Biagio Platani, Alessandria della Rocca, Cianciana, Sant’Angelo Muxaro, Bivona, Santo Stefano Quisquina, Prizzi). L’iniziativa di co-progettazione territoriale condotte sperimentano un modello di sviluppo locale di territori interni capace di alimentare la resilienza e l'adattamento delle comunità e contribuiscono a riflessioni teoriche nel campo dell’urbanistica collaborativa
Active deformation in a sector of the Sicilian-Maghrebian Chain: new insights from integrated GNSS, structural high-resolution seismic reflection and seismological data
No full textWe document active deformation in a sector of the Sicilian Maghrebian Chain exposed in north Sicily and in its
offshore prolongation on the basis of the integrated analysis of 1) time series of data collected by GNSS acquisition
representing the change in the positions (X and Y) of permanent stations located in Palermo, Partinico, Prizzi, and Termini
compared to the IGS station of Noto, 2) high-resolution (Sparker) single-channel reflection seismic data, 3) structural
data, and 4) seismological data. The average values for the velocity vectors obtained for the Palermo, Partinico, Prizzi,
and Termini Imerese stations are 4.55, 2.97, 2.96, and 2.15 mm/yr, respectively. The direction of the velocity vectors for
all stations is oriented towards the station IGS reference of Noto. The relative displacements of the Termini Imerese,
Partinico and Prizzi stations respect to Palermo station are most equal to 0.5 mm; the directions of vectors are divided
between them, with a clockwise rotation. In the area cropping out in the promontory of Capo Zafferano, Pleistocene
conglomerates and grainstones are affected by recent tectonic deformation. Particularly, two sets of deformation bands
striking: i) from N-S to NNW-SSE and ii) NE-SW are observed at two sites near the village of Porticello. Both sets have
an almost vertical dip and show mutual cross-cutting relationships which suggest that they developed contemporaneously.
The N-S/NNW-SSE striking set shows a left-lateral strike slip kinematic. At place, the deformation bands affect also
Upper Pleistocene (Tyrrhenian) bio-calcarenites. A number of seismic units, which are bounded by unconformities, were
identified on seismic lines based on the internal configuration and seismic-stratigraphic character of reflectors (amplitude,
reflection continuity, external shape, and frequency). The shallowest seismic unit is limited at the bottom by an erosional
unconformity which cuts the underlying units. This unconformity formed during the sea level lowstand of the Last Glacial
Maximum (LGM), aged at~20 ka. The unit of inferred late Pleistocene age appears to be folded and faulted. Faults
generally have an inclination of ca. 50°, small displacements up to 10 m and are sealed by the unit of inferred post LGM
age. Only a limited number of these faults were observed moving ca. 3 km offshore towards the NE. The study area has
been struck in the past by several significant earthquakes of I0≥6, and we jointly evaluated data and information available
for these events with the results of analyses performed to define the spatial distribution and kinematics of the recent
seismicity
Recent results on thin domain problems II
No full textIn this paper we survey some recent results
on parabolic equations on curved squeezed domains. More
specifically, consider the family of semilinear
Neumann boundary value problems
\alignedat2 u_t &= \Delta u + f(u), &\quad&t> 0,\ x\in \Omega_\varepsilon,
\\ \partial_{\nu_\varepsilon}u&= 0, &\quad& t> 0,\ x\in \partial \Omega_\varepsilon
\endaligned \leqno{(\text{\rm E}_\varepsilon)}
where, for small, the set
is a thin domain in , possibly with holes,
which collapses, as , onto
a (curved) -dimensional submanifold of .
If is dissipative, then equation (E) has a global attractor
.
We identify a ``limit'' equation for the family (E), establish an upper semicontinuity result
for the family
and prove an inertial manifold theorem in case is a -sphere
