Search results for "continuity"
showing 10 items of 378 documents
Gravity modelling of the lower crust in Sardinia (Italy)
1997
In this paper an example is given of an application of statistical techniques to the Bouguer anomalies analysis in order to design a simple crustal model using few a priori assumptions. All gravity measurements carried out in Sardinia have been collected and processed. The Bouguer anomalies have been calculated according to local density estimates. Spectral analysis of the Bouguer anomalies has been carried out along selected profiles in order to estimate the mean depth of the Moho discontinuity and that of an infracrustal discontinuity. The use of this technique inferred the presence of a discontinuity at a mean depth of ~ 28 km, interpreted as Moho and the likely presence of an infracrust…
Ferroelectric Domain Walls in BaTiO3: Fingerprints in XRPD Diagrams and Quantitative HRTEM Image Analysis
1997
The structure of ferroelectric domain walls in BaTiO3 has been investigated through two complementary approaches, a global one by the fine analysis of X-ray diffraction patterns, the other essentially local via a quantitative image analysis method developed and applied to High Resolution Transmission Electron Microscopy images. These two original approaches converge towards a clear description of 90○ walls which are shown to be a 4–6 nm wide region where the crystallographic discontinuity is accommodated by irregular atomic displacements. The results given here demonstrate that the usual structural theoretical description of walls commonly accepted for energy calculations are far too simpli…
Fluid reservoirs in the crust and mechanical coupling between the upper and lower crust
2004
An important observation associated with seismic activity on the Nagamachi-Rifu Fault is the existence of tabular, fluid rich zones at mid-crustal levels. These zones resemble the “bright spots” seen in many seismic images of the crust worldwide. The aim of this paper is to develop the mechanical foundations for the formation of such zones. To do so requires an understanding of the distribution of pore fluid pressure in a deforming crust. In a hydrostatically stressed porous material, the pore fluid pressure should equal the mean stress in order to keep the pores from collapsing. Past discussions of this subject imply very high pore fluid pressures, two to three times lithostatic. Considera…
Regularity of renormalized solutions to nonlinear elliptic equations away from the support of measure data
2018
We prove boundedness and continuity for solutions to the Dirichlet problem for the equation $$ - {\rm{div}}(a(x,\nabla u)) = h(x,u) + \mu ,\;\;\;\;\;{\rm{in}}\;{\rm{\Omega }} \subset \mathbb{R}^{N},$$ where the left-hand side is a Leray-Lions operator from $$- {W}^{1,p}_0(\Omega)$$ into W−1,p′(Ω) with 1 < p < N, h(x,s) is a Caratheodory function which grows like ∣s∣p−1 and μ is a finite Radon measure. We prove that renormalized solutions, though not globally bounded, are Holder-continuous far from the support of μ.
Evolution Problems Associated to Linear Growth Functionals: The Dirichlet Problem
2003
Let Ω be a bounded set inIR N with Lipschitz continuous boundary ∂Ω. We are interested in the problem
Qui suis-je
2020
The scarcity of research on French immersion teachers’ professional identity contrasts with the increasing popularity of French immersion programs in Canada and the concomitant need for French immersion teachers. This study explores the professional identity negotiation of four French immersion teachers in Alberta, Canada, with a focus on discontinuity. Semi-structured interviews conducted face-to-face with the participants were analysed using dialogic narrative analysis. The findings highlight how discontinuity is occasioned by a change in knowledge about the French immersion teaching as a profession, encountering classroom realities, shifting one’s values concerning second language learni…
Continuity and discontinuity in the semantics of the Latin preposition per: a cognitive hypothesis
2011
Abstract We propose a description of the semantic network of the Latin prepositional phrase per ‘through’ + Accusative in the early stage of this language. Drawing upon the insights of Cognitive Grammar, we analyze the role of the schematic import in the spread from basic to abstract meanings. Finally, we draw a map of the polysemous network of per, showing that the continuity of the different, but consistently linked, meanings does not necessarily imply the unidirectionality of the concrete-to-abstract shifts.
On Uncertain Discontinuous Functions and Quasi-equilibrium in Some Economic Models
2020
In the paper is studied some properties of uncertain discontinuous mappings, the so-called w-discontinuous mappings. Based on them, the existence of a quasi-equilibrium for a new economic model is proved.
On the Problem of Well-Posedness for the Radon Transform
1981
In this note, we first discuss some continuity and discontinuity properties of the inverse Radon transform (R.t.). Any such property gives a positive (or negative) answer to the question, whether under certain contitions the problem of inverting the R.t. is well-posed.
Absolutely continuous functions with values in a Banach space
2017
Abstract Let Ω be an open subset of R n , n > 1 , and let X be a Banach space. We prove that α-absolutely continuous functions f : Ω → X are continuous and differentiable (in some sense) almost everywhere in Ω.